Analysis of negative magnetoresistance. Statistics of closed paths. I. Theory

Details Analysis of negative magnetoresistance. Statistics of closed paths. I. Theory Analysis of negative magnetoresistance. Statistics of closed paths. I. Theory

1999-12-23

arxiv.org/abs/cond-mat/9912430v1

Phys. Rev. B 61, 13164 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 12 figures, to be published in Phys.Rev.B

Scientific paper

10.1103/PhysRevB.61.13164

Statistics of closed paths in two-dimensional (2D) 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 scatterers. 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 length which differs from true value.

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