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Anderson transition in interacting electron systems

相互作用电子系统中的安德森跃迁

基本信息

批准号：
11640381
负责人：
OHTSUKI Tomi
金额：
$ 2.11万
依托单位：
Sophia University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2001
项目状态：
已结题

项目摘要

The main objective of this research is to investigate the disorder induced metal-insulator transition in interacting electron systems. This problem is really difficult but there still are hints. In 2D electron systems in high magnetic fields, the interacting electron systems can be mapped to the systems with randomly varying magnetic fluxes. We have simulated this random flux systems numerically. We are planning to investigate the case where the fluctuations of fluxes are not only spatially but also temporally in the future project. Another possible approach is the scaling theory. For that purpose, we have analyzed in detail the Anderson transition in non-interacting systems, especially the boundary condition effect and the conductance distribution.The two dimensional Anderson transition is of interest even in the absence of interaction. That in the presence of spin-orbit interactions is especially interesting. We have determined the critical exponent of this system precisely, and investigated the effect of dephasing.We have also investigated the classical Coulomb gap using the genetic algorithm. The quantum Coulomb glass has also been investigated using the method of level statistics.

本研究的主要目的是研究相互作用电子系统中无序诱导的金属-绝缘体相变。这道题确实很难，但还是有提示的。在强磁场中的二维电子系统中，相互作用的电子系统可以映射到具有随机变化的磁通量的系统。我们已经模拟了这种随机通量系统的数值。我们计划在未来的项目中调查通量波动不仅在空间上而且在时间上的情况。另一种可能的方法是尺度理论。为此，我们详细地分析了无相互作用系统中的安德森相变，特别是边界条件效应和电导分布，二维安德森相变即使在无相互作用的情况下也是令人感兴趣的。在存在自旋轨道相互作用的情况下，这一点特别有趣。我们精确地确定了该系统的临界指数，研究了退相效应，并利用遗传算法研究了经典库仑能隙。用能级统计方法研究了量子库仑玻璃。