Statistics of closed paths in two-dimensional systems and negative magnetoresistance studied by computer simulation

TL;DR

This paper uses computer simulations to analyze the statistics of closed paths in 2D systems, exploring their impact on quantum interference corrections and magnetoconductance in ballistic and diffusive regimes.

Contribution

It demonstrates that the anomalous magnetoconductance can be modeled by diffusion approximation with adjusted parameters, providing insights into quantum corrections in 2D systems.

Findings

Simulation results align with diffusion approximation models

Prefactor in magnetoconductance expression is less than unity

Phase breaking effects differ from true values in the model

Abstract

Statistics of closed paths in two-dimensional systems, which just determines the interference quantum correction to conductivity and anomalous magnetoconductance, has been studied by computer simulation of a particle motion over the plane with randomly distributed scatters. Both ballistic and diffusion regimes have been considered. The results of simulation have been analyzed in the framework of diffusion approximation. They are used for calculation of the magnetic field dependence of magnetoconductance in the model 2D system. It is shown that the anomalous magnetoconductance can be in principle described by the well known expression, obtained in the diffusion approximation, but with the prefactor less than unity and phase breaking which differs from true value.