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Babu ND, Setlur GS. Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:125602. [PMID: 34937007 DOI: 10.1088/1361-648x/ac45b6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/2021] [Accepted: 12/22/2021] [Indexed: 06/14/2023]
Abstract
We study a system of two non-interacting quantum wires with fermions of opposite chirality with a point contact junction at the origin across which tunneling can take place when an arbitrary time-dependent bias between the wires is applied. We obtain the exact dynamical non-equilibrium Green function by solving Dyson's equation analytically. Both the space-time dependent two and four-point functions are written down in a closed form in terms of simple functions of position and time. This allows us to obtain, among other things, theI-Vcharacteristics for an arbitrary time-dependent bias. Our method is a superior alternative to competing approaches to non-equilibrium as we are able to account for transient phenomena as well as the steady state. We study the approach to steady state by computing the time evolution of the equal-time one-particle Green function. Our method can be easily applied to the problem of a double barrier contact whose internal properties can be adjusted to induce resonant tunneling leading to a conductance maximum. We then consider the case of a finite bandwidth in the point contact and calculate the non-equilibrium transport properties which exhibit non-Markovian behaviour. When a subsequently constant bias is suddenly switched on, the current shows a transient build up before approaching its steady state value in contrast to the infinite bandwidth case. This transient property is consistent with numerical simulations of lattice systems using time-dependent density matrix renormalization group suggesting thereby that this transient build up is merely due to the presence of a short distance cutoff in the problem description and not on the other details.
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Affiliation(s)
- Nikhil Danny Babu
- Department of Physics, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India
| | - Girish S Setlur
- Department of Physics, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India
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Claveau Y, Di Matteo S, de Andres PL, Flores F. Electron transport in ultra-thin films and ballistic electron emission microscopy. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:115001. [PMID: 28155852 DOI: 10.1088/1361-648x/aa575e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We have developed a calculation scheme for the elastic electron current in ultra-thin epitaxial heterostructures. Our model uses a Keldysh's non-equilibrium Green's function formalism and a layer-by-layer construction of the epitaxial film. Such an approach is appropriate to describe the current in a ballistic electron emission microscope (BEEM) where the metal base layer is ultra-thin and generalizes a previous one based on a decimation technique appropriated for thick slabs. This formalism allows a full quantum mechanical description of the transmission across the epitaxial heterostructure interface, including multiple scattering via the Dyson equation, which is deemed a crucial ingredient to describe interfaces of ultra-thin layers properly in the future. We introduce a theoretical formulation needed for ultra-thin layers and we compare with results obtained for thick Au(1 1 1) metal layers. An interesting effect takes place for a width of about ten layers: a BEEM current can propagate via the center of the reciprocal space ([Formula: see text]) along the Au(1 1 1) direction. We associate this current to a coherent interference finite-width effect that cannot be found using a decimation technique. Finally, we have tested the validity of the handy semiclassical formalism to describe the BEEM current.
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Affiliation(s)
- Y Claveau
- Aix Marseille Université, CNRS, Université de Toulon, IM2NP UMR 7334, 13397, Marseille, France
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Namarvar OF, Mayou D. Theory for STM images of resonances in the near-field regime: application to adsorbates and local defects on graphene. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2015; 27:245502. [PMID: 26037044 DOI: 10.1088/0953-8984/27/24/245502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We analyze the STM current through electronic resonances on a substrate as a function of tip-surface distance. We show that when the tip approaches the surface a maximum of the density of states of the electronic resonance at some energy can lead to a dip of the STM signal dI/dV. This phenomenon is a Fano effect resulting from the coupling of the electronic states of the STM tip with the resonance. In graphene such resonances can be produced by local defects or adsorbates and we analyze the cases of top and hollow configurations of adsorbates.
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Affiliation(s)
- Omid Faizy Namarvar
- Institut Néel, CNRS: Université Joseph Fourier, F-38042 Grenoble, France. CEMES-CNRS, Pico-Lab, 29 rue Jeanne Marvig, F-31055 Toulouse, France
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Liu FT, Cheng Y, Chen XR. Negative Differential Resistance of Au-MgB 2-Au Nanoscale Junctions. CHINESE J CHEM PHYS 2014. [DOI: 10.1063/1674-0068/27/04/407-411] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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García-Fuente A, Gallego LJ, Vega A. Spin-dependent electronic conduction along zigzag graphene nanoribbons bearing adsorbed Ni and Fe nanostructures. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:165302. [PMID: 24691196 DOI: 10.1088/0953-8984/26/16/165302] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Using SMEAGOL, an ab initio computational method that combines the non-equilibrium Green's function formalism with density-functional theory, we calculated spin-specific electronic conduction in systems consisting of single Fen and Nin nanostructures (n = 1-4) adsorbed on a hydrogen-passivated zigzag graphene nanoribbon. For each cluster we considered both ferromagnetically and antiferromagnetically coupled ribbon edges (Ferro-F and Ferro-A systems, respectively). Adstructures located laterally on Ferro-A ribbons caused significant transmittance loss at energies 0.6-0.25 eV below the Fermi level for one spin and 0.2-0.4 eV above the Fermi level for the other, allowing the potential use of these systems in transistors to create a moderately spin-polarized current of one or the other sign depending on the gate voltage. Ni3 and Ni4 clusters located at the centre of Ferro-F ribbons exhibited a strong spin-filtering effect in a narrow energy window around the Fermi level.
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Affiliation(s)
- A García-Fuente
- Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, E-47011 Valladolid, Spain. Department of Chemistry, University of Fribourg, CH-1700 Fribourg, Switzerland
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Martín-Rodero A, Ferrer J, Flores F. Contact resistance and saturation effects in the scanning tunnelling microscope: the resistance quantum unit. J Microsc 2011. [DOI: 10.1111/j.1365-2818.1988.tb01392.x] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Parida P, Lakshmi S, Pati SK. Negative differential resistance in nanoscale transport in the Coulomb blockade regime. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2009; 21:095301. [PMID: 21817384 DOI: 10.1088/0953-8984/21/9/095301] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Motivated by recent experiments, we have studied the transport behavior of coupled quantum dot systems in the Coulomb blockade regime using the master (rate) equation approach. We explore how electron-electron interactions in a donor-acceptor system, resembling weakly coupled quantum dots with varying charging energy, can modify the system's response to an external bias, taking it from normal Coulomb blockade behavior to negative differential resistance (NDR) in the current-voltage characteristics.
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Affiliation(s)
- Prakash Parida
- Theoretical Sciences Unit, Jawaharlal Nehru Centre For Advanced Scientific Research, Jakkur Campus, Bangalore 560064, India. DST Unit on Nanoscience, Jakkur Campus, Bangalore 560064, India
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Ferrer J, García-Suárez VM. From microelectronics to molecular spintronics: an explorer's travelling guide. ACTA ACUST UNITED AC 2009. [DOI: 10.1039/b810617g] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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García-Suárez VM, Rocha AR, Bailey SW, Lambert CJ, Sanvito S, Ferrer J. Conductance oscillations in zigzag platinum chains. PHYSICAL REVIEW LETTERS 2005; 95:256804. [PMID: 16384492 DOI: 10.1103/physrevlett.95.256804] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/19/2005] [Indexed: 05/05/2023]
Abstract
Using first principles simulations we perform a detailed study of the structural, electronic, and transport properties of monatomic platinum chains, sandwiched between platinum electrodes. First, we demonstrate that the most stable atomic configuration corresponds to a zigzag arrangement that gradually straightens as the chains are stretched. Second, we find that the averaged conductance shows slight parity oscillations with the number of atoms in the chain. Additionally, the conductance of chains of fixed oscillates as the end atoms are pulled apart, due to the gradual closing and opening of conductance channels as the chain straightens.
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Rocha AR, García-Suárez VM, Bailey SW, Lambert CJ, Ferrer J, Sanvito S. Towards molecular spintronics. NATURE MATERIALS 2005; 4:335-9. [PMID: 15750597 DOI: 10.1038/nmat1349] [Citation(s) in RCA: 583] [Impact Index Per Article: 29.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/18/2004] [Accepted: 01/19/2005] [Indexed: 05/18/2023]
Abstract
The ability to manipulate electron spin in organic molecular materials offers a new and extremely tantalizing route towards spin electronics, both from fundamental and technological points of view. This is mainly due to the unquestionable advantage of weak spin-orbit and hyperfine interactions in organic molecules, which leads to the possibility of preserving spin-coherence over times and distances much longer than in conventional metals or semiconductors. Here we demonstrate theoretically that organic spin valves, obtained by sandwiching an organic molecule between magnetic contacts, can show a large bias-dependent magnetoresistance and that this can be engineered by an appropriate choice of molecules and anchoring groups. Our results, obtained through a combination of state-of-the-art non-equilibrium transport methods and density functional theory, show that although the magnitude of the effect varies with the details of the molecule, large magnetoresistance can be found both in the tunnelling and the metallic limit.
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García-Martín A, Torres JA, Sáenz JJ. Finite size corrections to the conductance of ballistic wires. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:13448-13451. [PMID: 9985244 DOI: 10.1103/physrevb.54.13448] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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12
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Cuevas JC, Martín-Rodero A, Yeyati AL. Hamiltonian approach to the transport properties of superconducting quantum point contacts. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:7366-7379. [PMID: 9984360 DOI: 10.1103/physrevb.54.7366] [Citation(s) in RCA: 156] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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13
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Mingo N, Jurczyszyn L, Garcia-Vidal FJ, Saiz-Pardo R, Flores F, Wu SY, More W. Theory of the scanning tunneling microscope: Xe on Ni and Al. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:2225-2235. [PMID: 9986075 DOI: 10.1103/physrevb.54.2225] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Martín-Rodero A, García-Vidal FJ. Thermal noise in superconducting quantum point contacts. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:R8891-R8894. [PMID: 9982478 DOI: 10.1103/physrevb.53.r8891] [Citation(s) in RCA: 67] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Voets J, Keijsers RJ, Shklyarevskii OI. Effects of electrode interactions observed in a mechanically controllable break junction. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:1072-1075. [PMID: 9983558 DOI: 10.1103/physrevb.53.1072] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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16
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Theory of Tip-Sample Interactions. ACTA ACUST UNITED AC 1996. [DOI: 10.1007/978-3-642-80118-1_8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Martín-Rodero A, García-Vidal FJ. Self-consistent theory of superconducting mesoscopic weak links. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:3743-3753. [PMID: 9979191 DOI: 10.1103/physrevb.51.3743] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zypman FR, Fonseca LF. Time-independent tunneling current of a tip-sample system in scanning tunneling spectroscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:2501-2505. [PMID: 9979006 DOI: 10.1103/physrevb.51.2501] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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20
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Martín-Rodero A, García-Vidal FJ. Microscopic theory of Josephson mesoscopic constrictions. PHYSICAL REVIEW LETTERS 1994; 72:554-557. [PMID: 10056462 DOI: 10.1103/physrevlett.72.554] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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21
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Zypman FR, Fonseca LF, Goldstein Y. Theory of tunneling spectroscopy for semiconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:1981-1988. [PMID: 10011000 DOI: 10.1103/physrevb.49.1981] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Krans JM, Muller CJ, Yanson IK, Govaert TC, Hesper R. One-atom point contacts. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:14721-14724. [PMID: 10007910 DOI: 10.1103/physrevb.48.14721] [Citation(s) in RCA: 106] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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23
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Todorov TN, Sutton AP. Jumps in electronic conductance due to mechanical instabilities. PHYSICAL REVIEW LETTERS 1993; 70:2138-2141. [PMID: 10053480 DOI: 10.1103/physrevlett.70.2138] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Doyen G. The Scattering Theoretical Approach to the Scanning Tunneling Microscope. SCANNING TUNNELING MICROSCOPY III 1993. [DOI: 10.1007/978-3-642-97470-0_3] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/12/2023]
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Ciraci S, Tekman E, Baratoff A, Batra IP. Theoretical study of short- and long-range forces and atom transfer in scanning force microscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:10411-10422. [PMID: 10002884 DOI: 10.1103/physrevb.46.10411] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Agraït N, Rodrigo JG, Vieira S. Transition from the tunneling regime to point contact and proximity-induced Josephson effect in lead-normal-metal nanojunctions. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:5814-5817. [PMID: 10004388 DOI: 10.1103/physrevb.46.5814] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tekman E. Critical study of perturbative approaches to tunneling. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:4938-4943. [PMID: 10004255 DOI: 10.1103/physrevb.46.4938] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Berndt R, Gimzewski JK, Schlittler RR. Tunneling characteristics at atomic resolution on close-packed metal surfaces. Ultramicroscopy 1992. [DOI: 10.1016/0304-3991(92)90318-e] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Cerdá JR, Flores F, Perez R. Transport of physisorbed Xe atoms on Ni(110) using a scanning tunneling microscope: A theoretical approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:8721-8729. [PMID: 10000712 DOI: 10.1103/physrevb.45.8721] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Apell SP, Penn DR. Photoinduced resonant tunneling treated by an extended transfer Hamiltonian method. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:6757-6768. [PMID: 10000438 DOI: 10.1103/physrevb.45.6757] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Sacks W, Noguera C. Generalized expression for the tunneling current in scanning tunneling microscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11612-11622. [PMID: 9996930 DOI: 10.1103/physrevb.43.11612] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tekman E, Ciraci S. Theoretical study of transport through a quantum point contact. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:7145-7169. [PMID: 9998178 DOI: 10.1103/physrevb.43.7145] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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36
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Ciraci S, Baratoff A, Batra IP. Site-dependent electronic effects, forces, and deformations in scanning tunneling microscopy of flat metal surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:7618-7621. [PMID: 9994911 DOI: 10.1103/physrevb.42.7618] [Citation(s) in RCA: 61] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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37
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Pernas PL, Martin-Rodero A, Flores F. Electrochemical-potential variations across a constriction. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:8553-8556. [PMID: 9993189 DOI: 10.1103/physrevb.41.8553] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zheng NJ, Tsong IS. Resonant-tunneling theory of imaging close-packed metal surfaces by scanning tunneling microscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:2671-2677. [PMID: 9994031 DOI: 10.1103/physrevb.41.2671] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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39
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Ciraci S, Tekman E. Theory of transition from the tunneling regime to point contact in scanning tunneling microscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:11969-11972. [PMID: 9991814 DOI: 10.1103/physrevb.40.11969] [Citation(s) in RCA: 79] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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40
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Ferrer J, Flores F, Martn-Rodero A. Metal-superconductor supercurrents in the scanning tunneling microscope. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:11320-11326. [PMID: 9947959 DOI: 10.1103/physrevb.39.11320] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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