Dynamical localisation of conduction electrons in one-dimensional disordered systems

Abstract

The phase-space approach based on the Wigner distribution function is applied to the description of dynamics of conduction electrons in finite one-dimensional systems with randomly distributed scattering centres. It is shown that the coherent multiple scattering of the carriers in the disordered environment leads to the slowdown of its dynamics due to the weak localisation. This quantum phenomenon can be treated as a source of the subdiffusion of the quantum particles.

Phase-Space Approach to the Position-Momentum Correlations of the Conduction Electron States in a Double-Barrier Resonant Nanosystem

“…From the mathematical point of view, the negative values of the WDF can be regarded as a consequence of the Weyl transform which "forces" the off-diagonal elements of the density matrix to the resulting distribution function [4]. On the other hand, this property of the WDF can be also explained in terms of the quantum interference between correlated pieces of the WDF which occupy different regions of the phase space [5].…”

Phase-space description of the coherent state dynamics in a small one-dimensional system

“…In the present calculations, the initial condition for the Moyal equation is taken in the coherent state form which is represented by the Wigner form of the Gaussian wave packet centered around some point (x 0 , p 0 ) in the phase space [20],…”

Quantum Kinetic Theory of the '2kF' Scattering Mechanism for Three-Dimensional Structurally Disordered Systems in the Ioffe-Regel limit

“…k = −k. Finally, the general form of the inverse of the transport relaxation time derived within the MH theory is given by the following expression [8]:…”