Interacting electrons in a one-dimensional random array of scatterers: A quantum dynamics and Monte Carlo study

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

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The quantum dynamics of an ensemble of interacting electrons in an array of random scatterers is treated using a numerical approach for the calculation of average values of quantum operators and time correlation functions in the Wigner representation. The Fourier transform of the product of matrix elements of the dynamic propagators obeys an integral Wigner-Liouville-type equation. Initial conditions for this equation are given by the Fourier transform of the Wiener path-integral representation of the matrix elements of the propagators at the chosen initial times. 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 leads to an enhancement of the conductivity and spatial dispersion compared to the noninteracting case.

Original languageEnglish (US)
Article number165124
Pages (from-to)1651241-16512411
Number of pages14861171
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number16
StatePublished - Apr 15 2002
Externally publishedYes

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Momentum
Fourier transforms
momentum
propagation
Particle interactions
Electrons
particle interactions
Dispersions
scattering
Monte Carlo method
Molecular dynamics
Mathematical operators
Monte Carlo methods
electrons
molecular dynamics
operators
conductivity
augmentation
products
matrices

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Interacting electrons in a one-dimensional random array of scatterers : A quantum dynamics and Monte Carlo study. / Filinov, V.; Thomas, P.; Varga, I.; Meier, T.; Bonitz, M.; Fortov, V.; Koch, Stephan W.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 65, No. 16, 165124, 15.04.2002, p. 1651241-16512411.

Research output: Contribution to journalArticle

Filinov, V, Thomas, P, Varga, I, Meier, T, Bonitz, M, Fortov, V & Koch, SW 2002, 'Interacting electrons in a one-dimensional random array of scatterers: A quantum dynamics and Monte Carlo study', Physical Review B - Condensed Matter and Materials Physics, vol. 65, no. 16, 165124, pp. 1651241-16512411.
Filinov V, Thomas P, Varga I, Meier T, Bonitz M, Fortov V et al. Interacting electrons in a one-dimensional random array of scatterers: A quantum dynamics and Monte Carlo study. Physical Review B - Condensed Matter and Materials Physics. 2002 Apr 15;65(16):1651241-16512411. 165124.
Filinov, V. ; Thomas, P. ; Varga, I. ; Meier, T. ; Bonitz, M. ; Fortov, V. ; Koch, Stephan W. / Interacting electrons in a one-dimensional random array of scatterers : A quantum dynamics and Monte Carlo study. In: Physical Review B - Condensed Matter and Materials Physics. 2002 ; Vol. 65, No. 16. pp. 1651241-16512411.
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