Electronic transport in a one-dimensional random array of scatterers

V. S. Filinov, P. Thomas, I. Varga, T. Meier, M. Bonitz, V. E. Fortov, Stephan W Koch

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a new numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner representation. This approach combines both molecular dynamics and Monte Carlo methods and computes numerical traces and spectra of the relevant dynamical quantities such as momentum-momentum correlation functions and spatial dispersions. Considering, as an application, a system with fixed scatterers, the results clearly demonstrate that the many-particle interaction between the electrons can lead to an enhancement of the conductivity at intermediate densities.

Original languageEnglish (US)
Pages (from-to)5905-5911
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number22 SPEC.ISS.
DOIs
StatePublished - Jun 6 2003
Externally publishedYes

Fingerprint

Momentum
Electronics
Electron
momentum
Time Correlation Functions
Particle interactions
Electrons
Quantum Dynamics
particle interactions
Dispersions
scattering
electronics
Molecular Dynamics
Monte Carlo method
Conductivity
Molecular dynamics
Mathematical operators
Correlation Function
Ensemble
Monte Carlo methods

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Filinov, V. S., Thomas, P., Varga, I., Meier, T., Bonitz, M., Fortov, V. E., & Koch, S. W. (2003). Electronic transport in a one-dimensional random array of scatterers. Journal of Physics A: Mathematical and General, 36(22 SPEC.ISS.), 5905-5911. https://doi.org/10.1088/0305-4470/36/22/311

Electronic transport in a one-dimensional random array of scatterers. / Filinov, V. S.; Thomas, P.; Varga, I.; Meier, T.; Bonitz, M.; Fortov, V. E.; Koch, Stephan W.

In: Journal of Physics A: Mathematical and General, Vol. 36, No. 22 SPEC.ISS., 06.06.2003, p. 5905-5911.

Research output: Contribution to journalArticle

Filinov, VS, Thomas, P, Varga, I, Meier, T, Bonitz, M, Fortov, VE & Koch, SW 2003, 'Electronic transport in a one-dimensional random array of scatterers', Journal of Physics A: Mathematical and General, vol. 36, no. 22 SPEC.ISS., pp. 5905-5911. https://doi.org/10.1088/0305-4470/36/22/311
Filinov VS, Thomas P, Varga I, Meier T, Bonitz M, Fortov VE et al. Electronic transport in a one-dimensional random array of scatterers. Journal of Physics A: Mathematical and General. 2003 Jun 6;36(22 SPEC.ISS.):5905-5911. https://doi.org/10.1088/0305-4470/36/22/311
Filinov, V. S. ; Thomas, P. ; Varga, I. ; Meier, T. ; Bonitz, M. ; Fortov, V. E. ; Koch, Stephan W. / Electronic transport in a one-dimensional random array of scatterers. In: Journal of Physics A: Mathematical and General. 2003 ; Vol. 36, No. 22 SPEC.ISS. pp. 5905-5911.
@article{3cec876eab5d44619b6a44b024b24b22,
title = "Electronic transport in a one-dimensional random array of scatterers",
abstract = "The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a new numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner representation. This approach combines both molecular dynamics and Monte Carlo methods and computes numerical traces and spectra of the relevant dynamical quantities such as momentum-momentum correlation functions and spatial dispersions. Considering, as an application, a system with fixed scatterers, the results clearly demonstrate that the many-particle interaction between the electrons can lead to an enhancement of the conductivity at intermediate densities.",
author = "Filinov, {V. S.} and P. Thomas and I. Varga and T. Meier and M. Bonitz and Fortov, {V. E.} and Koch, {Stephan W}",
year = "2003",
month = "6",
day = "6",
doi = "10.1088/0305-4470/36/22/311",
language = "English (US)",
volume = "36",
pages = "5905--5911",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "22 SPEC.ISS.",

}

TY - JOUR

T1 - Electronic transport in a one-dimensional random array of scatterers

AU - Filinov, V. S.

AU - Thomas, P.

AU - Varga, I.

AU - Meier, T.

AU - Bonitz, M.

AU - Fortov, V. E.

AU - Koch, Stephan W

PY - 2003/6/6

Y1 - 2003/6/6

N2 - The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a new numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner representation. This approach combines both molecular dynamics and Monte Carlo methods and computes numerical traces and spectra of the relevant dynamical quantities such as momentum-momentum correlation functions and spatial dispersions. Considering, as an application, a system with fixed scatterers, the results clearly demonstrate that the many-particle interaction between the electrons can lead to an enhancement of the conductivity at intermediate densities.

AB - The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a new numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner representation. This approach combines both molecular dynamics and Monte Carlo methods and computes numerical traces and spectra of the relevant dynamical quantities such as momentum-momentum correlation functions and spatial dispersions. Considering, as an application, a system with fixed scatterers, the results clearly demonstrate that the many-particle interaction between the electrons can lead to an enhancement of the conductivity at intermediate densities.

UR - http://www.scopus.com/inward/record.url?scp=0038516674&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038516674&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/36/22/311

DO - 10.1088/0305-4470/36/22/311

M3 - Article

VL - 36

SP - 5905

EP - 5911

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 22 SPEC.ISS.

ER -