51
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Rudziński W. Phonon-assisted spin-polarized tunneling through an interacting quantum dot. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2008; 20:275214. [PMID: 21694375 DOI: 10.1088/0953-8984/20/27/275214] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
Using the nonequilibrium Green function technique we study theoretically spin-polarized transport in double-barrier tunneling junctions based on a single-level quantum dot interacting with a local phonon mode. Phonon emission and absorption spectra have been calculated for arbitrary Coulomb correlations on the dot and for different temperatures. It is shown that in the nonlinear response regime the electron-phonon interaction gives rise to current suppression in symmetric junctions as well as to oscillations of the tunnel magnetoresistance (TMR). In asymmetric junctions, the same mechanism may lead effectively to enhancement of the diode-like characteristics. We have also found that at sufficiently low temperatures additional phonon-induced resonance peaks appear in the linear spectral function on both sides of the main resonance peaks corresponding to the quantum dot energy levels. The case of negative effective charging energy is also analyzed numerically. A significant enhancement of electric current (or suppression of TMR) above the threshold bias voltages at which the dot energy level enters the tunneling window is observed. The gate voltage-controlled rectification effect of the tunneling current in asymmetric junctions with positive and negative effective Coulomb correlations is also discussed.
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Affiliation(s)
- W Rudziński
- Department of Physics, Adam Mickiewicz University, ulica Umultowska 85, 61-614 Poznań, Poland
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52
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Tran T, Oçafrain M, Karpe S, Blanchard P, Roncali J, Lenfant S, Godey S, Vuillaume D. Structural Control of the Horizontal Double Fixation of Oligothiophenes on Gold. Chemistry 2008; 14:6237-46. [DOI: 10.1002/chem.200800133] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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53
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Yoshizawa K, Tada T, Staykov A. Orbital Views of the Electron Transport in Molecular Devices. J Am Chem Soc 2008; 130:9406-13. [DOI: 10.1021/ja800638t] [Citation(s) in RCA: 196] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kazunari Yoshizawa
- Institute for Materials Chemistry and Engineering, Kyushu University, Nishi-ku, Fukuoka 819-0395, Japan, and Department of Materials Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Tomofumi Tada
- Institute for Materials Chemistry and Engineering, Kyushu University, Nishi-ku, Fukuoka 819-0395, Japan, and Department of Materials Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Aleksandar Staykov
- Institute for Materials Chemistry and Engineering, Kyushu University, Nishi-ku, Fukuoka 819-0395, Japan, and Department of Materials Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
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54
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May V, Kühn O. Photoinduced removal of the franck-condon blockade in single-electron inelastic charge transmission. NANO LETTERS 2008; 8:1095-1099. [PMID: 18318503 DOI: 10.1021/nl073150h] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
A new mechanism of charge transmission through a metal-molecule-metal junction is suggested that is based on optical driving of electronic transitions in the neutral and singly charged molecular state. The effects of strong electron vibrational coupling, intramolecular vibrational energy redistribution, and molecular de-excitation caused by electron-hole pair formation in the leads are taken into account. It is shown that current suppression due to the Franck-Condon blockade can be overcome by opening new transmission channels via photoexcitation.
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Affiliation(s)
- Volkhard May
- Institut für Physik, Humboldt-UniVersität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany.
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55
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Galperin M, Tretiak S. Linear optical response of current-carrying molecular junction: A nonequilibrium Green’s function–time-dependent density functional theory approach. J Chem Phys 2008; 128:124705. [DOI: 10.1063/1.2876011] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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56
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Moore AM, Mantooth BA, Dameron AA, Donhauser ZJ, Lewis PA, Smith RK, Fuchs DJ, Weiss PS. Measurements and Mechanisms of Single-Molecule Conductance Switching. ACTA ACUST UNITED AC 2008. [DOI: 10.1007/978-3-540-77968-1_3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/09/2023]
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57
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Danilov A, Kubatkin S, Kafanov S, Hedegård P, Stuhr-Hansen N, Moth-Poulsen K, Bjørnholm T. Electronic transport in single molecule junctions: control of the molecule-electrode coupling through intramolecular tunneling barriers. NANO LETTERS 2008; 8:1-5. [PMID: 18085806 DOI: 10.1021/nl071228o] [Citation(s) in RCA: 66] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
We report on single molecule electron transport measurements of two oligophenylenevinylene (OPV3) derivatives placed in a nanogap between gold (Au) or lead (Pb) electrodes in a field effect transistor device. Both derivatives contain thiol end groups that allow chemical binding to the electrodes. One derivative has additional methylene groups separating the thiols from the delocalized pi-electron system. The insertion of methylene groups changes the open state conductance by 3-4 orders of magnitude and changes the transport mechanism from a coherent regime with finite zero-bias conductance to sequential tunneling and Coulomb blockade behavior.
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Affiliation(s)
- Andrey Danilov
- Nano-Science Center (Niels Bohr Institute and Department of Chemistry), University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
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58
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Ashwell GJ, Wierzchowiec P, Phillips LJ, Collins CJ, Gigon J, Robinson BJ, Finch CM, Grace IR, Lambert CJ, Buckle PD, Ford K, Wood BJ, Gentle IR. Functional molecular wires. Phys Chem Chem Phys 2008; 10:1859-66. [DOI: 10.1039/b719417j] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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59
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Simonian N, Li J, Likharev K. Negative differential resistance at sequential single-electron tunnelling through atoms and molecules. NANOTECHNOLOGY 2007; 18:424006. [PMID: 21730439 DOI: 10.1088/0957-4484/18/42/424006] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/19/2023]
Abstract
We have carried out calculations of electron transport in single-electron transistors using single atoms or small molecules as single-electron islands. The theory is based on a combination of (i) the general theory of the sequential single-electron transport through objects with a quantized energy spectrum, developed by Averin and Korotkov, (ii) the ab initio calculation of molecular orbitals and energy spectra within the density functional theory framework (using the NRLMOL software package), and (iii) Bardeen's approximation for the rate of tunnelling due to wavefunction overlap. The results show, in particular, that dc I-V curves of molecular-scale single-electron transistors typically have extended branches with negative differential resistance. This effect is due to the enhancement of one of the two tunnelling barriers of the transistor by the source-drain electric field, and apparently has already been observed experimentally by at least two groups. In conclusion, the possibility of using this effect for increasing the density and performance of hybrid semiconductor/nanodevice integrated circuits is discussed in brief.
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60
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Liang YY, Jiang F, Zhou YX, Chen H, Note R, Mizuseki H, Kawazoe Y. Ab initiostudy of single-molecule rotation switch based on nonequilibrium Green’s function theory. J Chem Phys 2007; 127:084107. [PMID: 17764229 DOI: 10.1063/1.2771156] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The bistable molecular switches have been studied theoretically based on the first-principles calculation. The geometry structures of the switches studied in this paper can be triggered between two symmetrical structures by using an external applied electric field. I-V characteristic curves of the different molecule configurations have been calculated, and distinguishability of these characteristic curves indicates a switching behavior, the performance of which can be improved significantly by some suitable donors and acceptors.
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Affiliation(s)
- Y Y Liang
- Physics Department, Fudan University, Shanghai 200433, People's Republic of China
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61
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Marchenkov A, Dai Z, Donehoo B, Barnett RN, Landman U. Alternating current Josephson effect and resonant superconducting transport through vibrating Nb nanowires. NATURE NANOTECHNOLOGY 2007; 2:481-485. [PMID: 18654344 DOI: 10.1038/nnano.2007.218] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2007] [Accepted: 06/21/2007] [Indexed: 05/26/2023]
Abstract
In 1962, Josephson made a celebrated prediction: when a constant voltage is applied across a thin insulator separating two superconductors, it will generate an oscillating current. These oscillations are ubiquitous in superconducting weak links of various geometries, and analogues have been found in other macroscopic quantum systems, such as superfluids and gaseous Bose-Einstein condensates. The interplay between the oscillating current and external microwave radiation of matching frequency (Shapiro steps) or with internal electrodynamic resonances (Fiske effect) appear as changes in the current-voltage characteristics of superconducting tunnel junctions and provide further insight into the phenomenon. Here, we report measurements and theoretical studies suggesting that Josephson current oscillations interact with atomic-scale mechanical motion as well. We formed a niobium dimer nanowire that acts as a weak link between two superconducting (bulk) niobium electrodes. We find features in the differential conductance through the dimer which we believe correspond to excitations of the dimer vibrational modes by Josephson oscillations and support our results with theoretical simulations.
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62
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Tang J, Wang Y, Klare J, Tulevski G, Wind S, Nuckolls C. Encoding Molecular-Wire Formation within Nanoscale Sockets. Angew Chem Int Ed Engl 2007. [DOI: 10.1002/ange.200604398] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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63
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Tang J, Wang Y, Klare JE, Tulevski GS, Wind SJ, Nuckolls C. Encoding Molecular-Wire Formation within Nanoscale Sockets. Angew Chem Int Ed Engl 2007; 46:3892-5. [PMID: 17342783 DOI: 10.1002/anie.200604398] [Citation(s) in RCA: 61] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Jinyao Tang
- Department of Chemistry and The Center for Electron Transport in Molecular Nanostructures, Columbia University, New York, NY 10027, USA
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64
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65
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Abstract
Building an electronic device using individual molecules is one of the ultimate goals in nanotechnology. To achieve this it will be necessary to measure, control and understand electron transport through molecules attached to electrodes. Substantial progress has been made over the past decade and we present here an overview of some of the recent advances. Topics covered include molecular wires, two-terminal switches and diodes, three-terminal transistor-like devices and hybrid devices that use various different signals (light, magnetic fields, and chemical and mechanical signals) to control electron transport in molecules. We also discuss further issues, including molecule-electrode contacts, local heating- and current-induced instabilities, stochastic fluctuations and the development of characterization tools.
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Affiliation(s)
- N J Tao
- Department of Electrical Engineering Arizona State University, Tempe, Arizona 85287, USA.
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66
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Tada T, Kondo M, Yoshizawa K. Green's function formalism coupled with Gaussian broadening of discrete states for quantum transport: application to atomic and molecular wires. J Chem Phys 2006; 121:8050-7. [PMID: 15485269 DOI: 10.1063/1.1799991] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A Green's function formalism incorporating broadened density of states (DOS) is proposed for the calculation of electrical conductance. In cluster-molecule-cluster systems, broadened DOS of the clusters are defined as continuous DOS of electrodes and used to calculate Green's function of electrodes. This approach combined with density functional theory is applied to the electrical transmission of gold atomic wires and molecular wires consisting of benzene-1,4-dithiolate, benzene-1,4-dimethanethiolate, 4,4(')-bipyridine, hexane dithiolate, and octane dithiolate. The B3LYP, B3PW91, MPW1PW91, SVWN, and BPW91 functionals with the LANL2DZ, CEP, and SDD basis sets are employed in the calculation of conductance. The width parameter was successfully determined to reproduce the quantum unit of conductance 2e(2)/h in gold atomic wires. The combination of the B3LYP hybrid functional and the CEP-31G basis set is excellent in reproducing measured conductances of molecular wires by Tao et al. [Science 301, 1221 (2003); J. Am. Chem. Soc. 125, 16164 (2003); Nano Lett. 4, 267 (2004)].
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Affiliation(s)
- Tomofumi Tada
- Institute for Materials Chemistry and Engineering, Kyushu University, Fukuoka 812-8581, Japan
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67
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Liang TT, Naitoh Y, Horikawa M, Ishida T, Mizutani W. Fabrication of Steady Junctions Consisting of α,ω-Bis(thioacetate) Oligo(p-phenylene vinylene)s in Nanogap Electrodes. J Am Chem Soc 2006; 128:13720-6. [PMID: 17044699 DOI: 10.1021/ja062561h] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
For obtaining molecular devices using metal-molecule-metal junctions, it is necessary to fabricate a steady conductive bridge-structure; that is stable chemical bonds need to be established from a single conductive molecule to two facing electrodes. In the present paper, we show that the steadiness of a conductive bridge-structure depends on the molecular structure of the bridge molecule for nanogap junctions using three types of modified oligo(phenylene vinylene)s (OPVs): alpha,omega-bis(thioacetate) oligo(phenylene vinylene) (OPV1), alpha,omega-bis(methylthioacetate) oligo(phenylene vinylene) (OPV2), and OPV2 consisting of ethoxy side chains (OPV3). We examined the change in resistance between the molecule-bridged junction and a bare junction in each of the experimental Au-OPV-Au junctions to confirm whether molecules formed steady bridges. Herein, the outcomes of whether molecules formed steady bridges were defined in terms of three types of result; successful, possible and failure. We define the ratio of the number of successful junctions to the total number of experimental junctions as successful rate. A 60% successful rate for OPV3 was higher than for the other two molecules whose successful rates were estimated to be approximately 10%. We propose that conjugated molecules consisting of methylthioacetate termini and short alkoxy side chains are well suited for fabricating a steady conductive bridge-structure between two facing electrodes.
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Affiliation(s)
- Tien-Tzu Liang
- Nanotechnology Research Institute, Tsukuba, Ibaraki 305-8562, Japan
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68
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Danilov AV, Kubatkin SE, Kafanov SG, Flensberg K, Bjørnholm T. Electron transfer dynamics of bistable single-molecule junctions. NANO LETTERS 2006; 6:2184-90. [PMID: 17034080 DOI: 10.1021/nl0612087] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
We present transport measurements of single-molecule junctions bridged by a molecule with three benzene rings connected by two double bonds and with thiol end-groups that allow chemical binding to gold electrodes. The I-V curves show switching behavior between two distinct states. By statistical analysis of the switching events, we show that a 300 meV mode mediates the transition between the two states. We propose that breaking and reformation of a S-H bond in the contact zone between molecule and electrode explains the observed bistability.
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Affiliation(s)
- Andrey V Danilov
- Department of Microtechnology and Nanoscience, Chalmers University of Technology, Göteborg, Sweden
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69
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Jiang F, Zhou YX, Chen H, Note R, Mizuseki H, Kawazoe Y. Self-consistent study of single molecular transistor modulated by transverse field. J Chem Phys 2006; 125:084710. [PMID: 16965042 DOI: 10.1063/1.2337286] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We use a self-consistent method to study the current of the single molecular transistor modulated by the transverse field in the level of the density functional theory and the nonequilibrium Green function method. The numerical results show that both the polyacene-dithiol molecules and the fused-ring thiophene molecules are the potential high-frequency molecular transistors controlled by the transverse field. The longer molecules of the polyacene-dithiol or the fused-ring thiophene are in favor of realizing the gate-bias controlled molecular transistor. The theoretical results suggest the related experiments.
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Affiliation(s)
- F Jiang
- Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
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70
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Kuznetsov AM, Ulstrup J. Theory of electron tunneling through a bridge molecule with two electronic levels at low temperatures. RUSS J ELECTROCHEM+ 2006. [DOI: 10.1134/s1023193506070093] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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71
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Akkerman HB, Blom PWM, de Leeuw DM, de Boer B. Towards molecular electronics with large-area molecular junctions. Nature 2006; 441:69-72. [PMID: 16672966 DOI: 10.1038/nature04699] [Citation(s) in RCA: 542] [Impact Index Per Article: 28.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2005] [Accepted: 03/02/2006] [Indexed: 11/09/2022]
Abstract
Electronic transport through single molecules has been studied extensively by academic and industrial research groups. Discrete tunnel junctions, or molecular diodes, have been reported using scanning probes, break junctions, metallic crossbars and nanopores. For technological applications, molecular tunnel junctions must be reliable, stable and reproducible. The conductance per molecule, however, typically varies by many orders of magnitude. Self-assembled monolayers (SAMs) may offer a promising route to the fabrication of reliable devices, and charge transport through SAMs of alkanethiols within nanopores is well understood, with non-resonant tunnelling dominating the transport mechanism. Unfortunately, electrical shorts in SAMs are often formed upon vapour deposition of the top electrode, which limits the diameter of the nanopore diodes to about 45 nm. Here we demonstrate a method to manufacture molecular junctions with diameters up to 100 microm with high yields (> 95 per cent). The junctions show excellent stability and reproducibility, and the conductance per unit area is similar to that obtained for benchmark nanopore diodes. Our technique involves processing the molecular junctions in the holes of a lithographically patterned photoresist, and then inserting a conducting polymer interlayer between the SAM and the metal top electrode. This simple approach is potentially low-cost and could pave the way for practical molecular electronics.
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Affiliation(s)
- Hylke B Akkerman
- Materials Science Centre, University of Groningen, Nijenborgh 4, NL-9747 AG, Groningen, The Netherlands
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72
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Yasuda S, Yoshida S, Sasaki J, Okutsu Y, Nakamura T, Taninaka A, Takeuchi O, Shigekawa H. Bond Fluctuation of S/Se Anchoring Observed in Single-Molecule Conductance Measurements using the Point Contact Method with Scanning Tunneling Microscopy. J Am Chem Soc 2006; 128:7746-7. [PMID: 16771482 DOI: 10.1021/ja062066l] [Citation(s) in RCA: 77] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Conductance was measured for the single molecules with S/Se anchoring on a Au surface using the point contact method with scanning tunneling microscopy that enables us to selectively perform a repeated analysis of a chosen target molecule. Apparent conductance changes observed in sequential measurements suggest the existence of bond fluctuation among the adsorption sites.
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Affiliation(s)
- Satoshi Yasuda
- Institute of Applied Physics, CREST-JST, 21st Century COE, University of Tsukuba, Tsukuba 305-8573, Japan
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73
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Abstract
▪ Abstract The objective of this review is to describe current experimental research of single-molecule electrical junctions in the context of various theoretical frameworks, with emphasis on the application of single-electron transistor theory to molecular junctions. Molecule quantum dots are at least an order of magnitude smaller than semiconductor quantum dots, which allows the study of many of the same mesoscopic and many-body effects at far higher temperatures. We discuss processes such as cotunneling, sequential tunneling, and incoherent tunneling, as well as the Kondo effect, Zeeman splitting, and the Coulomb diamond. Goals for future experimental work are outlined.
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Affiliation(s)
- Yoram Selzer
- School of Chemistry, Tel-Aviv University, Ramat Aviv, Tel Aviv 69978, Israel.
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74
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Kervennic YV, Thijssen JM, Vanmaekelbergh D, Dabirian R, Jenneskens LW, van Walree CA, van der Zant HSJ. Charge Transport in Three-Terminal Molecular Junctions Incorporating Sulfur-End-Functionalized Tercyclohexylidene Spacers. Angew Chem Int Ed Engl 2006. [DOI: 10.1002/ange.200503591] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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75
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Kervennic YV, Thijssen JM, Vanmaekelbergh D, Dabirian R, Jenneskens LW, van Walree CA, van der Zant HSJ. Charge Transport in Three-Terminal Molecular Junctions Incorporating Sulfur-End-Functionalized Tercyclohexylidene Spacers. Angew Chem Int Ed Engl 2006; 45:2540-2. [PMID: 16548037 DOI: 10.1002/anie.200503591] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Yann-Vaï Kervennic
- Kavli Institute of Nanoscience, Delft University of Technology, PO Box 5046, 2600 GA, Delft, The Netherlands
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76
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Jorn R, Seideman T. Theory of current-induced dynamics in molecular-scale devices. J Chem Phys 2006; 124:084703. [PMID: 16512732 DOI: 10.1063/1.2172607] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We develop a theoretical framework for the study of inelastic resonant transport and current-driven dynamics in molecular nanodevices. Our approach combines a Born-Oppenheimer solution of the coordinate-, energy-, and voltage-dependent self-energy with a time-dependent scattering solution of the vibrational dynamics. The formalism is applied to two classic problems in current-triggered dynamics. As a simple example of bound-bound events in the nuclear subspace we study the problem of current-induced oscillations in Au-C60-Au heterojunctions. As a well-studied example of bound-free events in the nuclear subspace we revisit the problem of scanning-tunneling-microscopy-triggered H-atom desorption from a Si(100) surface. Our numerical results are supported by a simple analytically soluble model.
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Affiliation(s)
- Ryan Jorn
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
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77
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Albrecht T, Moth-Poulsen K, Christensen JB, Guckian A, Bjørnholm T, Vos JG, Ulstrup J. In situscanning tunnelling spectroscopy of inorganic transition metal complexes. Faraday Discuss 2006; 131:265-79; discussion 307-24. [PMID: 16512377 DOI: 10.1039/b505451f] [Citation(s) in RCA: 90] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Redox molecules with equilibrium potentials suitable for electrochemical control offer perspectives in nanoscale and single-molecule electronics. This applies to molecular but also towards higher sophistication such as transistor or diode function. Most recent nanoscale or single-molecule functional systems are, however, fraught with operational limitations such as cryogenic temperatures and ultra-high vacuum, or lack of electrochemical potential control. We report here cyclic voltammetry (CV) using single-crystal Au(111)- and Pt(111)-electrodes and electrochemical in situ scanning tunnelling microscopy (STM) of a class of Os(II)/(III)- and Co(II)/(III)-complexes, the former novel molecular electronics. The complexes are robust, with ligand groups suitable for linking the complexes to the Au(111)- and Pt(111)-surfaces via N- and S-donor atoms. The data reflect monolayer behaviour. Interfacial ET of the Os-complexes is fast, kET(0) > or = 10(6) s(-1), while the Co-complex reacts much more slowly, kET(0) approximately (1-3) x 10(3) s(-1). In STM of the Os-complexes shows a maximum in the tunnelling current/overpotential relation at constant bias voltage with up to 50-fold current rise. The peak position systematically the bias voltage and equilibrium potential, in keeping with theoretical frames for two-step electron transfer (ET) of in situ STM of redox molecules. The molecular conductivity behaves broadly similarly. The Co-complex also shows a tunnelling spectroscopic feature but much weaker than the Os-complexes. This can be ascribed much smaller interfacial ET rate constant, again caused by large intramolecular nuclear reorganization and weak electronic coupling to the substrate electrode. Overall the has mapped the properties of target molecules needed for stable electronic switching, possible importance in molecular electronics towards the single-molecule level, in room temperature condensed matter environment.
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Affiliation(s)
- Tim Albrecht
- Technical University of Denmark (DTU), Dept. Chemistry, Nano-DTU, Kemitorvet, Bldg. 207, Dk-2800, Kgs Lyngby, Denmark
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78
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Li Z, Han B, Meszaros G, Pobelov I, Wandlowski T, Błaszczyk A, Mayor M. Two-dimensional assembly and local redox-activity of molecular hybrid structures in an electrochemical environment. Faraday Discuss 2006; 131:121-43; discussion 205-20. [PMID: 16512368 DOI: 10.1039/b506623a] [Citation(s) in RCA: 118] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The self-assembly and redox-properties of two viologen derivatives, N-hexyl-N'-(6-thiohexyl)-4,4'-bipyridinium bromide (HS-6V6-H) and N,N'-bis(6-thiohexyl)-4,4'-bipyridinium bromide (HS-6V6-SH), immobilized on Au(lll)-(1 x 1) macro-electrodes were investigated by cyclic voltammetry, surface enhanced infrared spectroscopy (SEIRAS) and in situ scanning tunneling microscopy (STM). Depending on the assembly conditions one could distinguish three different types of adlayers for both viologens: a low coverage disordered and an ordered "striped" phase of flat oriented molecules as well as a high coverage monolayer composed of tilted viologen moieties. Both molecules, HS-6V6-H and HS-6V6-SH, were successfully immobilized on Au(poly) nano-electrodes, which gave a well-defined redox-response in the lower pA-current range. An in situ STM configuration was employed to explore electron transport properties of single molecule junctions Au(T)/HS-6V6-SH(HS-6V6-H)/Au(S). The observed sigmoidal potential dependence, measured at variable substrate potential E(S) and at constant bias voltage (E(T) - E(S)), was attributed to electronic structure changes of the viologen moiety during the one-electron reduction/re-oxidation process V2+ < -- > V+*. Tunneling experiments in asymmetric, STM-based junctions Au(T)-S-6V6-H/Au(S) revealed current (i(T))-voltage (E(T)) curves with a maximum located at the equilibrium potential of the redox-process V2+ < -- > V+*. The experimental i(T)--E(T) characteristics of the HS-6V6-H-modified tunneling junction were tentatively attributed to a sequential two-step electron transfer mechanism.
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Affiliation(s)
- Z Li
- Institute of Surfaces and Interfaces ISG 3 and cni, Research Center Jülich GmH, D-52425 Jülich, Germany
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81
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Casado J, Zgierski MZ, Hicks RG, Myles DJT, Viruela PM, Ortí E, Ruiz Delgado MC, Hernández V, López Navarrete JT. Mesitylthio-Oligothiophenes in Various Redox States. Molecular and Electronic Views as Offered by Spectroscopy and Theory. J Phys Chem A 2005; 109:11275-84. [PMID: 16331912 DOI: 10.1021/jp052778i] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A series of alpha,omega-bis(mesitylthio)oligothiophenes of various chain lengths and with different side substitution patterns have been studied in their oxidized states by means of electron absorption and Raman spectroscopies in combination with theory in the framework of the density functional theory. Upon chemical oxidation, stable radical cations, dications, and even radical trications are generated. Longer chain lengths better stabilize higher oxidation states. The tetramer can be easily converted to the dication, and a trication can be obtained for the ethylenedioxy derivative. The alpha,omega-sulfur atoms are actively involved in the formation of the charged species and exert a favorable tuning of their electronic structure. Raman spectra provide experimental evidence of the attainment of quinoidal structures within the conjugated path, initially heteroaromatic, with different extension as a function of the p-doping level.
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Affiliation(s)
- Juan Casado
- Department of Physical Chemistry, University of Málaga, Campus de Teatinos s/n, Málaga 29071, Spain
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82
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Albrecht T, Guckian A, Ulstrup J, Vos JG. Transistor-like behavior of transition metal complexes. NANO LETTERS 2005; 5:1451-5. [PMID: 16178256 DOI: 10.1021/nl050818o] [Citation(s) in RCA: 85] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Electron transport through semiconductor and metallic nanoscale structures, molecular monolayers, and single molecules connected to external electrodes display rectification, switch, and staircase functionality of potential importance in future miniaturization of electronic devices. Common to most reported systems is, however, ultrahigh vacuum and/or cryogenic working conditions. Here we introduce a single-molecule device concept based on a class of robust redox active transition metal (Os(II)/(III)) complexes inserted between the working electrode and tip in an electrochemical scanning tunneling microscope (in situ STM). This configuration resembles a single-molecule transistor, where the reference electrode corresponds to the gate electrode. It operates at room temperature in a condensed matter (here aqueous) environment. Amplification on-off ratios up to 50 are found when the redox level is brought into the energy window between the Fermi levels of the electrodes by the overpotential ("gate voltage"). The current-voltage characteristics for two Os(II)/(III) complexes have been characterized systematically and supported by theoretical frames based on molecular charge transport theory.
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Affiliation(s)
- Tim Albrecht
- Department of Chemistry and Nano-DTU, Building 207, Technical University of Denmark, DK-2800 Lyngby, Denmark
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83
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Krapchetov DA, Ma H, Jen AKY, Fischer DA, Loo YL. Solvent-dependent assembly of terphenyl- and quaterphenyldithiol on gold and gallium arsenide. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2005; 21:5887-93. [PMID: 15952838 DOI: 10.1021/la0503000] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
The assembly of terphenyldithiol (TPDT) and quaterphenyldithiol (QPDT) on gold and gallium arsenide from ethanol (EtOH), tetrahydrofuran (THF), and solutions consisting of both solvents has been characterized by near-edge X-ray absorption fine structure spectroscopy. The surface coverage and the average orientation of both TPDT and QPDT on gold are solvent-independent. These molecules readily form monolayers on gold with an ensemble-average backbone tilt of 30 degrees +/- 3 degrees from the substrate normal. In sharp contrast, the assembly of TPDT and QPDT on gallium arsenide is extremely solvent-sensitive. At high ethanol fractions, both molecules form monolayers with an ensemble-average orientation that is indistinguishable from those on gold substrates. At low ethanol fractions and in pure THF, however, these molecules are disordered on gallium arsenide and the surface coverage is poor.
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Affiliation(s)
- Dmitry A Krapchetov
- Chemical Engineering Department and Center for Nano- and Molecular Science and Technology, University of Texas at Austin, Austin, Texas 78712, USA
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84
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Nazin GV, Wu SW, Ho W. Tunneling rates in electron transport through double-barrier molecular junctions in a scanning tunneling microscope. Proc Natl Acad Sci U S A 2005; 102:8832-7. [PMID: 15956189 PMCID: PMC1157031 DOI: 10.1073/pnas.0501171102] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The scanning tunneling microscope enables atomic-scale measurements of electron transport through individual molecules. Copper phthalocyanine and magnesium porphine molecules adsorbed on a thin oxide film grown on the NiAl(110) surface were probed. The single-molecule junctions contained two tunneling barriers, vacuum gap, and oxide film. Differential conductance spectroscopy shows that electron transport occurs via vibronic states of the molecules. The intensity of spectral peaks corresponding to the individual vibronic states depends on the relative electron tunneling rates through the two barriers of the junction, as found by varying the vacuum gap tunneling rate by changing the height of the scanning tunneling microscope tip above the molecule. A simple, sequential tunneling model explains the observed trends.
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Affiliation(s)
- G V Nazin
- Department of Physics & Astronomy, University of California, Irvine, CA 92697-4575, USA
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85
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Tada T, Hamayama S, Kondo M, Yoshizawa K. Quantum Transport Effects in Copper(II) Phthalocyanine Sandwiched between Gold Nanoelectrodes. J Phys Chem B 2005; 109:12443-8. [PMID: 16852539 DOI: 10.1021/jp0442596] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The electrical transmission of copper(II) phthalocyanine (CuPc) sandwiched between gold nanoelectrodes is studied on the basis of the Green function formalism coupled with the Gaussian-broadening technique. In the Au-CuPc-Au junction, broadened density of states (DOS) of the Au chains is defined as continuous DOS of electrodes to calculate the Green function of the electrodes. Two peaks of the transmission function found in the vicinity of the Fermi level are analyzed in terms of molecular orbitals (MOs). A convenient procedure to analyze MO contribution to a transmission peak is proposed. It is found that (I) symmetry-matched interactions between CuPc and the gold nanoelectrodes are important to the enhancement of the transmission function and (II) the nanoelectrodes have almost no effect on the electronic states of CuPc.
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Affiliation(s)
- Tomofumi Tada
- Institute for Materials Chemistry and Engineering, Kyushu University, Fukuoka 812-8581, Japan
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86
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Koch J, von Oppen F. Franck-Condon blockade and giant Fano factors in transport through single molecules. PHYSICAL REVIEW LETTERS 2005; 94:206804. [PMID: 16090269 DOI: 10.1103/physrevlett.94.206804] [Citation(s) in RCA: 130] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2004] [Indexed: 05/03/2023]
Abstract
We show that Franck-Condon physics leads to a significant current suppression at low bias voltages (termed Franck-Condon blockade) in transport through single molecules with strong coupling between electronic and vibrational degrees of freedom. Transport in this regime is characterized by remarkably large Fano factors (10(2)-10(3) for realistic parameters), which arise due to avalanchelike transport of electrons. Avalanches occur in a self-similar manner over a wide range of time scales, leading to power-law dependences of the current noise on frequency and vibrational relaxation rate.
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Affiliation(s)
- Jens Koch
- Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
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87
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Paaske J, Flensberg K. Vibrational sidebands and the Kondo effect in molecular transistors. PHYSICAL REVIEW LETTERS 2005; 94:176801. [PMID: 15904323 DOI: 10.1103/physrevlett.94.176801] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/07/2004] [Indexed: 05/02/2023]
Abstract
Electron transport through molecular quantum dots coupled to a single vibrational mode is studied in the Kondo regime. We apply a generalized Schrieffer-Wolff transformation to determine the effective low-energy spin-spin-vibron interaction. From this model we calculate the nonlinear conductance and find Kondo sidebands located at bias voltages equal to multiples of the vibron frequency. Because of selection rules, the side peaks are found to have strong gate-voltage dependences, which can be tested experimentally. In the limit of weak electron-vibron coupling, we employ a perturbative renormalization group scheme to calculate analytically the nonlinear conductance.
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Affiliation(s)
- Jens Paaske
- Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
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88
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Zhang J, Chi Q, Albrecht T, Kuznetsov AM, Grubb M, Hansen AG, Wackerbarth H, Welinder AC, Ulstrup J. Electrochemistry and bioelectrochemistry towards the single-molecule level: Theoretical notions and systems. Electrochim Acta 2005. [DOI: 10.1016/j.electacta.2004.12.044] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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89
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Guyon R, Jonckheere T, Mujica V, Crépieux A, Martin T. Current and noise in a model of an alternating current scanning tunneling microscope molecule-metal junction. J Chem Phys 2005; 122:144703. [PMID: 15847549 DOI: 10.1063/1.1878593] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The transport properties of a simple model for a finite level structure (a molecule or a dot) connected to metal electrodes in an alternating current scanning tunneling microscope (ac-STM) configuration is studied. The finite level structure is assumed to have strong binding properties with the metallic substrate, and the bias between the STM tip and the hybrid metal-molecule interface has both an ac and a dc component. The finite frequency current response and the zero-frequency photoassisted shot noise are computed using the Keldysh technique, and examples for a single-site molecule (a quantum dot) and for a two-site molecule are examined. The model may be useful for the interpretation of recent experiments using an ac-STM for the study of both conducting and insulating surfaces, where the third harmonic component of the current is measured. The zero-frequency photoassisted shot noise serves as a useful diagnosis for analyzing the energy level structure of the molecule. The present work motivates the need for further analysis of current fluctuations in electronic molecular transport.
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Affiliation(s)
- R Guyon
- Centre de Physique Théorique, Case 907 Luminy, 13288 Marseille Cedex 9, France
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90
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91
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Türel Ö, Lee JH, Ma X, Likharev KK. Architectures for nanoelectronic implementation of artificial neural networks: new results. Neurocomputing 2005. [DOI: 10.1016/j.neucom.2004.11.023] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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92
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Pasupathy AN, Park J, Chang C, Soldatov AV, Lebedkin S, Bialczak RC, Grose JE, Donev LAK, Sethna JP, Ralph DC, McEuen PL. Vibration-assisted electron tunneling in C140 transistors. NANO LETTERS 2005; 5:203-207. [PMID: 15794596 DOI: 10.1021/nl048619c] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
We measure electron tunneling in transistors made from C(140), a molecule with a mass-spring-mass geometry chosen as a model system to study electron-vibration coupling. We observe vibration-assisted tunneling at an energy corresponding to the stretching mode of C(140). Molecular modeling provides explanations for why this mode couples more strongly to electron tunneling than to the other internal modes of the molecule. We make comparisons between the observed tunneling rates and those expected from the Franck-Condon model.
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Affiliation(s)
- A N Pasupathy
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY 14853, USA
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93
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94
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Galperin M, Ratner MA, Nitzan A. Inelastic electron tunneling spectroscopy in molecular junctions: Peaks and dips. J Chem Phys 2004; 121:11965-79. [PMID: 15634159 DOI: 10.1063/1.1814076] [Citation(s) in RCA: 293] [Impact Index Per Article: 14.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We study inelastic electron tunneling through a molecular junction using the nonequilibrium Green's function formalism. The effect of the mutual influence between the phonon and the electron subsystems on the electron tunneling process is considered within a general self-consistent scheme. Results of this calculation are compared to those obtained from the simpler Born approximation and the simplest perturbation theory approaches, and some shortcomings of the latter are pointed out. The self-consistent calculation allows also for evaluating other related quantities such as the power loss during electron conduction. Regarding the inelastic spectrum, two types of inelastic contributions are discussed. Features associated with real and virtual energy transfer to phonons are usually observed in the second derivative of the current I with respect to the voltage Phi when plotted against Phi. Signatures of resonant tunneling driven by an intermediate molecular ion appear as peaks in the first derivative dI/dPhi and may show phonon sidebands. The dependence of the observed vibrationally induced lineshapes on the junction characteristics, and the linewidth associated with these features are also discussed.
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Affiliation(s)
- Michael Galperin
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
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95
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96
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Klare JE, Tulevski GS, Nuckolls C. Chemical reactions with upright monolayers of cruciform pi-systems. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2004; 20:10068-10072. [PMID: 15518495 DOI: 10.1021/la0479152] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
The study below details the synthesis and self-assembly of new cruciform pi-systems and their in situ chemical reactions in monolayer films. Analysis of the packing in the crystal structure of one of these unusually shaped molecules reveals that the terphenyl arm, which is twisted out of conjugation, makes edge-to-face contact with neighboring molecules aligning the conjugated bisoxazole arms in rows. In self-assembled monolayers on metal surfaces, these cruciform pi-systems present reactive groups at the film/air interface. Films that present aldehyde functionality react with aromatic anilines to give surface-bound imines. Dimers that are >4.5 nm in length and contain a conjugated imine linkage can be made in situ on gold substrates through this strategy.
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Affiliation(s)
- Jennifer E Klare
- Department of Chemistry and The Nanoscience Center, Columbia University, New York, New York 10027, USA
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97
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Leroy BJ, Lemay SG, Kong J, Dekker C. Electrical generation and absorption of phonons in carbon nanotubes. Nature 2004; 432:371-4. [PMID: 15549099 DOI: 10.1038/nature03046] [Citation(s) in RCA: 279] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2004] [Accepted: 09/20/2004] [Indexed: 11/09/2022]
Abstract
The interplay between discrete vibrational and electronic degrees of freedom directly influences the chemical and physical properties of molecular systems. This coupling is typically studied through optical methods such as fluorescence, absorption and Raman spectroscopy. Molecular electronic devices provide new opportunities for exploring vibration-electronic interactions at the single molecule level. For example, electrons injected from a scanning tunnelling microscope tip into a metal can excite vibrational excitations of a molecule situated in the gap between tip and metal. Here we show how current directly injected into a freely suspended individual single-wall carbon nanotube can be used to excite, detect and control a specific vibrational mode of the molecule. Electrons tunnelling inelastically into the nanotube cause a non-equilibrium occupation of the radial breathing mode, leading to both stimulated emission and absorption of phonons by successive electron tunnelling events. We exploit this effect to measure a phonon lifetime of the order of 10 ns, corresponding to a quality factor of well over 10,000 for this nanomechanical oscillator.
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Affiliation(s)
- B J Leroy
- Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ, Delft, The Netherlands
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98
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Jäckel F, Watson MD, Müllen K, Rabe JP. Prototypical single-molecule chemical-field-effect transistor with nanometer-sized gates. PHYSICAL REVIEW LETTERS 2004; 92:188303. [PMID: 15169538 DOI: 10.1103/physrevlett.92.188303] [Citation(s) in RCA: 103] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2003] [Indexed: 05/24/2023]
Abstract
A prototypical single-molecule chemical-field-effect transistor is presented, in which the current through a hybrid-molecular diode is modified by nanometer-sized charge transfer complexes covalently linked to a molecule in an STM junction. The effect is attributed to an interface dipole which shifts the substrate work function by approximately 120 meV. It is induced by the complexes from electron acceptors covalently bound to the molecule in the gap and electron donors coming from the ambient fluid. This proof of principle is regarded as a major step towards monomolecular electronic devices.
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Affiliation(s)
- F Jäckel
- Department of Physics, Humboldt University Berlin, Newtonstrasse 15, 12489 Berlin, Germany
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99
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Zhitenev NB, Erbe A, Bao Z. Single- and multigrain nanojunctions with a self-assembled monolayer of conjugated molecules. PHYSICAL REVIEW LETTERS 2004; 92:186805. [PMID: 15169523 DOI: 10.1103/physrevlett.92.186805] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/23/2003] [Indexed: 05/24/2023]
Abstract
Systematic conductivity measurements in nanoscale junctions containing a self-assembled monolayer of conjugated molecules are reported. Different conductivity mechanisms are identified depending on the granularity of the metal used as a substrate for assembling the monolayer. Unexpectedly, the energy scale controlling the dominant conductance channels is quite low in comparison with the molecular level spacing. In single-grain junctions, the dominant conductance mechanism is hopping with an energy scale of the order of 10-100 meV determined by the nature of the metal contacts. In the case of multigrain junctions, additional tunnel conductance is observed with low-energy Coulomb-blockade features.
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Affiliation(s)
- N B Zhitenev
- Bell Labs, Lucent Technologies, Murray Hill, NJ 07974, USA
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100
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Single-molecule electron tunnelling through multiple redox levels with environmental relaxation. J Electroanal Chem (Lausanne) 2004. [DOI: 10.1016/j.jelechem.2003.10.048] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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