Conductance Fluctuations, Weak Localization, and Shot Noise for a Ballistic Constriction in a Disordered Wire
Abstract
This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to time-dependent fluctuations (shot noise) of the current. These effects are computed by means of a mapping onto an unconstricted conductor with a renormalized mean free path. The mapping holds both in the metallic and in the localized regime, and permits a solution for arbitrary ratio of mean free path to sample length. In the case of a single-channel quantum point contact, the mapping is onto a one-dimensional disordered chain, for which the complete distribution of the conductance is known. The theory is supported by numerical simulations. ***Submitted to Physical Review B.****
Keywords
Cite
@article{arxiv.cond-mat/9403034,
title = {Conductance Fluctuations, Weak Localization, and Shot Noise for a Ballistic Constriction in a Disordered Wire},
author = {C. W. J. Beenakker and J. A. Melsen},
journal= {arXiv preprint arXiv:cond-mat/9403034},
year = {2007}
}
Comments
15 pages, REVTeX-3.0, 9 postscript figures appended as self-extracting archive, INLO-PUB-940309b