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arXiv · cond-mat/9701155

Interactions and Disorder in Multi-Channel Quantum Wires

Nancy Sandler·Dmitrii L. Maslov
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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.

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Nancy Sandler, Dmitrii L. Maslov. 1997-01-22. Interactions and Disorder in Multi-Channel Quantum Wires. https://doi.org/10.1103/physrevb.55.13808

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