Liouville Theory as a Model for Prelocalized States in Disordered Conductors.
Liouville Theory as a Model for Prelocalized States in Disordered Conductors.
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刘维尔理论作为无序导体预局域化模型。
DOI：
10.1103/physrevlett.77.707
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发表时间：
1996
影响因子：
8.6
通讯作者：
Tsvelik
中科院分区：
文献类型：
--
作者：
Kogan;Mudry;Tsvelik
建立了用Liouville模型描述（$2+1$）维狄拉克电子在随机规范势中的零能量本征函数分布。该模型具有一条由无序强度参数化的临界点线，且逆参与比的尺度与传统局域化理论的尺度一致。由此得出结论，后一种理论的重整化群轨迹位于Liouville模型的临界点线附近。
It is established that the distribution of the zero energy eigenfunctions of ( $2+1$)-dimensional Dirac electrons in a random gauge potential is described by the Liouville model. This model has a line of critical points parametrized by the strength of disorder and the scaling dimensions of the inverse participation ratios coincide with the dimensions obtained in the conventional localization theory. From this fact we conclude that the renormalization group trajectory of the latter theory lies in the vicinity of the line of critical points of the Liouville model.