Berezinskii-Kosterlitz-Thouless transition in disordered multichannel Luttinger liquids
Berezinskii-Kosterlitz-Thouless transition in disordered multichannel Luttinger liquids
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DOI：
10.1103/physrevb.96.174210
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发表时间：
2017-11-27
影响因子：
3.7
通讯作者：
Yurkevich, Igor V.
中科院分区：
文献类型：
--
作者：
Jones, Max;Lerner, Igor V.;Yurkevich, Igor V.
我们研究了在具有通道间相互作用的无序多通道Luttinger液体中发生的导电态和绝缘态之间的相变。我们导出了无序时微扰而相互作用时非微扰的重整化群方程。在附近的所有通道的同时相变，这些方程成为一组耦合Berezinskiii-Kosterlitz-无源方程，我们分析两个模型：一个阵列的相同的电线和一个双通道模型与不同的渠道。我们表明，无序和相互作用之间的竞争结果在各种阶段，预计在中间温度下的相互作用和无序是相关的，但弱杂交和电荷密度波相互作用可以被忽略。
We study the phase transition between conducting and insulating states taking place in disordered multichannel Luttinger liquids with interchannel interactions. We derive renormalization-group equations which are perturbative in disorder but nonperturbative in interaction. In the vicinity of the simultaneous phase transition in all channels, these equations become a set of coupled Berezinskii-Kosterlitz-Thouless equations, which we analyze within two models: an array of identical wires and a two-channel model with distinct channels. We show that a competition between disorder and interaction results in a variety of phases, expected to be observable at intermediate temperatures where the interaction and disorder are relevant but weak hybridization and the charge-density-wave interaction may be ignored.