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Pollak M. On dynamical properties of electrons in Anderson-Mott insulators. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:105602. [PMID: 29393067 DOI: 10.1088/1361-648x/aaac94] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Properties of electrons in non-crystalline (alias disordered) systems has been a very active research topic for over half a century, since Anderson's ground breaking paper on localization. In strongly disordered systems electrons become Anderson and Mott localized. Interactions become important because screening by localized electrons is ineffective. Dynamical theories for such systems have long been controversial. Nevertheless one theory came to prominence in the literature and is often invoked and/or used. It is shown here that that theory is unsatisfactory in several aspects. It is based on the one-particle density of states, which turns out to be irrelevant to the problem it addresses. Another shortcoming is an implicit conjecture that interacting electrons move independently of each other. The theory is also in questionable agreement with experiment. It is shown that two other theories are free of those problems. They are useful for different types of studies, are compatible with each other and in agreement with experiment.
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Affiliation(s)
- M Pollak
- Department of Physics, University of California, Riverside, CA 93405, United States of America
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Maass P, Rinn B. Equilibrium and non-equilibrium dynamics in random-energy landscapes. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642810108205805] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Philipp Maass
- a Fachbereich Physik , Universität Konstanz , 78457, Konstanz , Germany
| | - Bernd Rinn
- a Fachbereich Physik , Universität Konstanz , 78457, Konstanz , Germany
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Affiliation(s)
- J. H. Davies
- a The Cavendish Laboratory , Madingley Road, Cambridge , CB3 0HE , England
- b Laboratory of Atomic and Solid State Physics , Cornell University , Ithaca , New York , 14853 , U.S.A
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Chroboczek JA, Fritzsche H, Jiang CL, Pollak M, Wild RL. Hopping and correlated hopping studies of p-Ge at large uniaxial stresses and high magnetic fields. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418638108223772] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- J. A. Chroboczek
- a Institute of Physics, Polish Academy of Sciences , Warsaw , Poland
| | - H. Fritzsche
- b James Franck Institute, University of Chicago , Chicago , Illinois , U.S.A
| | - C.-L. Jiang
- c Physics Department , University of California , Riverside , California , U.S.A
| | - M. Pollak
- c Physics Department , University of California , Riverside , California , U.S.A
| | - R. L. Wild
- c Physics Department , University of California , Riverside , California , U.S.A
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Affiliation(s)
- N. F. Mott
- a Cavendish Laboratory , Madingley Road , Cambridge , CB3 0HE , England
| | - J. H. Davies
- a Cavendish Laboratory , Madingley Road , Cambridge , CB3 0HE , England
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Affiliation(s)
- M. Pollak
- a Department of Physics , University of California , Riverside , California , 92521 , USA
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Affiliation(s)
- N. F. Mott
- a Cavendish Laboratory , Madingley Road, Cambridge , CB3 0HE , England
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Ortuno M, Pollak M. The activation energy of hopping transport with sequential correlations of hops due to Coulomb interactions. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/16/8/015] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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11
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Ovadyahu Z, Imry Y. Conductivity power-law temperature dependence of thin indium oxide films. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/18/1/004] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Marnieros S, Berge L, Juillard A, Dumoulin L. Dynamical properties near the metal-insulator transition: evidence for electron-assisted variable range hopping. PHYSICAL REVIEW LETTERS 2000; 84:2469-2472. [PMID: 11018912 DOI: 10.1103/physrevlett.84.2469] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/1999] [Indexed: 05/23/2023]
Abstract
We report independent measurements (between 20 and 200 mK) of the electronic specific heat C(e), the electron-phonon coupling G(e-ph), and the electron-phonon relaxation time tau(e-ph) (from 10(-2) to 10(-5) s) for NbxSi1-x Anderson insulator thin films. We show that the usual equation tau(e-ph) = C(e)/G(e-ph) holds only if the resistance is solely related to the electron temperature. We conclude that at sufficiently low temperatures variable range hopping transport is assisted by electron-electron interactions alone and is independent of the phonon distribution.
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Affiliation(s)
- S Marnieros
- CSNSM, IN2P3-CNRS, Batiment 108, 91405 Orsay Campus, France
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Meir Y. Universal Crossover between Efros-Shklovskii and Mott Variable-Range-Hopping Regimes. PHYSICAL REVIEW LETTERS 1996; 77:5265-5267. [PMID: 10062757 DOI: 10.1103/physrevlett.77.5265] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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14
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Tenelsen K, Schreiber M. Low-temperature many-electron hopping conductivity in the Coulomb glass. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:13287-13293. [PMID: 9980520 DOI: 10.1103/physrevb.52.13287] [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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Tenelsen K, Schreiber M. Many localized electrons in disordered systems with Coulomb interaction: A simulation of the Coulomb glass. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:12662-12675. [PMID: 10010170 DOI: 10.1103/physrevb.49.12662] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ioselevich AS. Spin polarons and variable range hopping in magnetically disordered systems. PHYSICAL REVIEW LETTERS 1993; 71:1067-1070. [PMID: 10055440 DOI: 10.1103/physrevlett.71.1067] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Mochena M, Pollak M. Low-temperature properties of interacting particles in disordered media: A method with application to Coulomb glass. PHYSICAL REVIEW LETTERS 1991; 67:109-111. [PMID: 10044064 DOI: 10.1103/physrevlett.67.109] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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18
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Influence de la morphologie de films de polyacetylene sur les proprietes de transport electrique. Eur Polym J 1991. [DOI: 10.1016/0014-3057(91)90078-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Stankiewicz J, Fermn JR, Videla L. Electrical properties of Cd1-xFexSe. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5400-5402. [PMID: 9994406 DOI: 10.1103/physrevb.41.5400] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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White H, Bergmann G. Localization in near-monolayer films. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:11594-11602. [PMID: 9991759 DOI: 10.1103/physrevb.40.11594] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Roy A, Levy M, Guo XM, Sarachik MP, Ledesma R, Isaacs LL. Hall coefficient of insulating n-type CdSe. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:10185-10191. [PMID: 9947798 DOI: 10.1103/physrevb.39.10185] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chicon R, Ortuno M, Pollak M. Hardening of the Coulomb gap by electronic polarons. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:10520-10525. [PMID: 9944505 DOI: 10.1103/physrevb.37.10520] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Hadley BD, Pollak M, Ortuno M. Computer studies of system densities of states and of correlations in the excitation spectra of interacting electrons in disordered insulators. PHYSICAL REVIEW. B, CONDENSED MATTER 1988; 37:9006-9016. [PMID: 9944272 DOI: 10.1103/physrevb.37.9006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Entin-Wohlman O, Ovadyahu Z. Modifications of hopping transport due to electrostatically enhanced Coulomb repulsion. PHYSICAL REVIEW LETTERS 1986; 56:643-646. [PMID: 10033247 DOI: 10.1103/physrevlett.56.643] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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The Effect Of Coulomb Interactions On Electronic States And Transport In Disordered Insulators. ACTA ACUST UNITED AC 1985. [DOI: 10.1016/b978-0-444-86916-6.50010-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/07/2023]
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Dietl T, Antoszewski J, Swierkowski L. Hopping conduction of the bound magnetic polarons in n-CdMnSe. ACTA ACUST UNITED AC 1983. [DOI: 10.1016/0378-4363(83)90568-5] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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