Interacting electrons in a one-dimensional random array of scatterers - A Quantum Dynamics and Monte-Carlo study

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. 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.

10 pages and 8 figures, to appear in PRB April 15

References in corpus (5)

• Wigner Crystallization in mesoscopic 2D electron systems
• Thermodynamics of hot dense H-plasmas: Path integral Monte Carlo simulations and analytical approximations
• Phase Transition in Strongly Degenerate Hydrogen Plasma
• Dynamical Properties and Plasmon Dispersion of a Weakly Degenerate Correlated One-Component Plasma
• Fock space localization, return probability, and conductance of disordered interacting electrons

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• Explicit Solution of the Time Evolution of the Wigner Function
• Thermodynamic properties and electrical conductivity of strongly correlated plasma media
• Wigner function quantum molecular dynamics
• Quantum fluctuations approach to the nonequilibrium $GW$ approximation
• Equation of state of strongly coupled quark--gluon plasma -- Path integral Monte Carlo results
• Diffusion and growth of metal clusters in nanocomposites: a Kinetic Monte Carlo study
• Classical and Quantum Theory of Fluctuations for Many-Particle Systems out of Equilibrium
• Quantum Fluctuations Approach to the Nonequilibrium $GW$-Approximation II: Density Correlations and Dynamic Structure Factor
• Two-Time Quantum Fluctuations Approach and its Relation to the Bethe--Salpeter Equation