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Liu Y, Shi W, Zhao T, Wang D, Shuai Z. Boosting the Seebeck Coefficient for Organic Coordination Polymers: Role of Doping-Induced Polaron Band Formation. J Phys Chem Lett 2019; 10:2493-2499. [PMID: 31026169 DOI: 10.1021/acs.jpclett.9b00716] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Organic polymers are becoming emerging thermoelectric materials. Tremendous progress has been achieved for p-type doping, but efficient n-type organic materials are still rare. By investigating potassium-doped n-type poly(nickel-ethylenetetrathiolate) using density functional theory coupled with Boltzmann transport equation, we find that (i) formation of the electron polaron band (EPB) split from the conduction band (CB) dominates electron transport; (ii) at low doping concentration, the upper CB gets involved in transport in addition to the EPB as the temperature rises, leading to a highly elevated Seebeck coefficient and power factor; and (iii) at even higher temperature, because the CB starts to dominate, the Seebeck coefficient levels off and then decreases with temperature. Such an "exotic" nonmonotonic temperature effect has been found in experiment but has never been explained. We find that such behavior is primarily due to a polaron effect. A doping-induced polaron band can be employed to boost the Seebeck coefficient, making the organic coordination polymer a peculiar n-type thermoelectric material.
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Affiliation(s)
- Yunpeng Liu
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry , Tsinghua University , Beijing 100084 , People's Republic of China
| | - Wen Shi
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry , Tsinghua University , Beijing 100084 , People's Republic of China
| | - Tianqi Zhao
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry , Tsinghua University , Beijing 100084 , People's Republic of China
| | - Dong Wang
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry , Tsinghua University , Beijing 100084 , People's Republic of China
| | - Zhigang Shuai
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry , Tsinghua University , Beijing 100084 , People's Republic of China
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Mikhailov SA. Nonlinear electromagnetic response of a uniform electron gas. PHYSICAL REVIEW LETTERS 2014; 113:027405. [PMID: 25062232 DOI: 10.1103/physrevlett.113.027405] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/11/2014] [Indexed: 06/03/2023]
Abstract
The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same approach, we derive analytical expressions for the second- and third-order nonlinear polarizabilities of the three-, two-, and one-dimensional homogeneous electron gases with the parabolic electron energy dispersion. The results are valid both for degenerate (Fermi) and nondegenerate (Boltzmann) electron gases. A resonant enhancement of the second- and third-harmonics generation due to a combination of the single-particle and collective (plasma) resonances is predicted.
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Affiliation(s)
- S A Mikhailov
- Institute of Physics, University of Augsburg, D-86135 Augsburg, Germany
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3
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Zhao K, Bhowmick S, Lee H, Yakobson BI. High electric field enhancement near electron-doped semiconductor nanoribbons. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.07.026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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4
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Moudgil RK, Garg V, Pathak KN. Confinement and correlation effects on plasmons in an atom-scale metallic wire. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:135003. [PMID: 21389506 DOI: 10.1088/0953-8984/22/13/135003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We have studied the effect of confinement and correlations on the plasmon dispersion in an atom-scale metallic wire by determining the electron density response function. The wire electrons are modelled as comprising a quasi-one-dimensional homogeneous gas, with different transverse confinement models. The response function is calculated by including electron correlations beyond the random-phase approximation within the self-consistent mean-field approach of Singwi et al (1968 Phys. Rev. 176 589). The plasmon dispersion results are found to be in very good agreement with the recent electron-energy-loss spectroscopy measurements by Nagao et al (2006 Phys. Rev. Lett. 97 116802). However, our predictions are found to depend strongly on the nature of the confinement model, the structure of the one-dimensional electronic band and the electron effective mass, implying a crucial role for the wire structure.
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Affiliation(s)
- R K Moudgil
- Department of Physics, Kurukshetra University, Kurukshetra, India.
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Shahbazyan TV, Ulloa SE. Far-infrared absorption in parallel quantum wires with weak tunneling. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:16749-16756. [PMID: 9985805 DOI: 10.1103/physrevb.54.16749] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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6
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Wendler L, Grigoryan VG. Collective and single-particle excitations of the quasi-one-dimensional electron gas in the presence of a magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:8652-8675. [PMID: 9984544 DOI: 10.1103/physrevb.54.8652] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wendler L, Haupt R. Plasmons in imperfect parabolic quantum-well wires: Self-consistent calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:9031-9043. [PMID: 9979893 DOI: 10.1103/physrevb.52.9031] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wang R, Ruden PP. Electron-electron-interaction-induced instability in double quantum-wire structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:7826-7829. [PMID: 9979764 DOI: 10.1103/physrevb.52.7826] [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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9
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Hai GQ, Studart N, Peeters FM. Multisubband electron transport in delta -doped semiconductor systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:8363-8371. [PMID: 9979839 DOI: 10.1103/physrevb.52.8363] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Güven K, Tanatar B. Phonon renormalization effects in photoexcited quantum wires. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:1784-1790. [PMID: 9978900 DOI: 10.1103/physrevb.51.1784] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Liao LB, Heiman D, Hopkins PF, Gossard AC. Inelastic-light-scattering study of magnetoplasma modes in a wide parabolic quantum well. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:16825-16828. [PMID: 10010855 DOI: 10.1103/physrevb.49.16825] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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12
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Grodnensky I, Heitmann D, Klitzing K, Ploog K, Rudenko A, Kamaev A. Edge-magnetoplasma excitations in GaAs-AlxGa1-xAs quantum wires. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:10778-10781. [PMID: 10009915 DOI: 10.1103/physrevb.49.10778] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tanatar B, Constantinou NC. Collective excitations in quasi-one-dimensional electron systems under a magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:18280-18283. [PMID: 10008475 DOI: 10.1103/physrevb.48.18280] [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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Yu RH. Self-consistent determination of electronic structure and elementary excitations of finite modulation-doped superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15692-15699. [PMID: 10005963 DOI: 10.1103/physrevb.47.15692] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Glutsch S, Bechstedt F. Effects of the Coulomb interaction on the optical spectra of quantum wires. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:4315-4326. [PMID: 10006578 DOI: 10.1103/physrevb.47.4315] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Park PW, MacDonald AH, Schaich WL. Density response in laterally modulated two-dimensional electron systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:12635-12642. [PMID: 10003182 DOI: 10.1103/physrevb.46.12635] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wang L, Zeng F, Feng S, Zhu Y. Quantization effects on magnetoplasmons in quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:9804-9807. [PMID: 10002799 DOI: 10.1103/physrevb.46.9804] [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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Demel T, Heitmann D, Grambow P, Ploog K. One-dimensional plasmons in AlGaAs/GaAs quantum wires. PHYSICAL REVIEW LETTERS 1991; 66:2657-2660. [PMID: 10043578 DOI: 10.1103/physrevlett.66.2657] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Li QP. Elementary excitation spectrum of one-dimensional electron systems in confined semiconductor structures: Zero magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:11768-11786. [PMID: 9996949 DOI: 10.1103/physrevb.43.11768] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mendoza BS, Schaich WL. Additional intersubband plasmons in quasi-one-dimensional systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:9275-9278. [PMID: 9996603 DOI: 10.1103/physrevb.43.9275] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mendoza BS, Schaich WL. Hydrodynamic theory of intrasubband plasmons in quasi-one-dimensional systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:6590-6597. [PMID: 9998100 DOI: 10.1103/physrevb.43.6590] [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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23
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Que W. Quantum theory of plasmons in lateral multiwire superlattices: Intrasubband plasmons and their coupling to intersubband plasmons. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:7127-7135. [PMID: 9998176 DOI: 10.1103/physrevb.43.7127] [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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Yip SK. Magneto-optical absorption by electrons in the presence of parabolic confinement potentials. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:1707-1718. [PMID: 9997422 DOI: 10.1103/physrevb.43.1707] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Wulf U, Zeeb E, Gies P, Gerhardts RR, Hanke W. Magnetoplasmons in an electron gas at the crossover from two- to one-dimensional behavior. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:7637-7640. [PMID: 9994916 DOI: 10.1103/physrevb.42.7637] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yu H, Hermanson JC. Dynamical structure factor of a quantum wire in the random-phase approximation. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:1496-1499. [PMID: 9995577 DOI: 10.1103/physrevb.42.1496] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wang J, Leburton JP. Plasmon dispersion relation of a quasi-one-dimensional electron gas. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:7846-7849. [PMID: 9993083 DOI: 10.1103/physrevb.41.7846] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dahl C. Plasmons in periodically modulated inversion layers. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5763-5769. [PMID: 9994460 DOI: 10.1103/physrevb.41.5763] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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