### 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 language | English (US) |
---|---|

Article number | 165124 |

Pages (from-to) | 1651241-16512411 |

Number of pages | 14861171 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 65 |

Issue number | 16 |

State | Published - Apr 15 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*65*(16), 1651241-16512411. [165124].

**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.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 65, no. 16, 165124, pp. 1651241-16512411.

}

TY - JOUR

T1 - Interacting electrons in a one-dimensional random array of scatterers

T2 - A quantum dynamics and Monte Carlo study

AU - Filinov, V.

AU - Thomas, P.

AU - Varga, I.

AU - Meier, T.

AU - Bonitz, M.

AU - Fortov, V.

AU - Koch, Stephan W

PY - 2002/4/15

Y1 - 2002/4/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037091625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037091625&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037091625

VL - 65

SP - 1651241

EP - 16512411

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 16

M1 - 165124

ER -