Interactions and Disorder in Multi-Channel Quantum Wires
Abstract
Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is calculated within the model of N coupled Luttinger liquids and under the assumption of weak disorder. It is shown that as the number of channels increases, a crossover from the Luttinger-liquid to the Fermi-liquid behavior occurs. This crossover manifests itself in the 1/N decrease of the scaling exponent of the temperature dependence. An exact expression for the scaling exponent for the case of N coupled Luttinger chains is obtained, and the large N limit is studied for the case of a quantum wire. The case of N=2 for electrons with spin is analyzed in detail, and a qualitative agreement with the experiment is achieved.
Cite
@article{arxiv.cond-mat/9701155,
title = {Interactions and Disorder in Multi-Channel Quantum Wires},
author = {Nancy Sandler and Dmitrii L. Maslov},
journal= {arXiv preprint arXiv:cond-mat/9701155},
year = {2009}
}
Comments
9 pages, REVTex with 1 Postscript figure