Electron transport and electron density inside quasi-one-dimensional disordered conductors

Abstract

We consider the problem of electron transport across a quasi-one-dimensional disordered multiply-scattering medium, and study the statistical properties of the electron density inside the system. Electrons of a given energy feed the disordered conductor from one end and the density is computed along the system and outside. The extension of the techniques that were used in the past to find information outside the sample is done in terms of the scattering properties of the two segments that form the entire conductor on each side of the observation point. The problem is of interest in various other branches of physics, as electrodynamics and elasticity.