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

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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
Issue number16
Publication statusPublished - Apr 15 2002
Externally publishedYes


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