Interactions and disorder in multichannel quantum wires

Article

关键词: ONE-DIMENSIONAL CONDUCTORS;    LUTTINGER LIQUIDS;    QUANTIZED CONDUCTANCE;    FERMI LIQUIDS;    HALL STATES;    MODEL;    EXCITATIONS;    GAS;    RENORMALIZATION;    BOSONIZATION;   

DOI  :  10.1103/PhysRevB.55.13808

来源: SCIE

【 摘 要 】

Recent experiments have revealed that the temperature dependence of the conductance of quasiballistic quantum wires bears characteristic 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.

【 授权许可】

Free