Anderson transition in interacting electron systems

相互作用电子系统中的安德森跃迁

• 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
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640381/
• 关键词: finite size scaling; Anderson transition; spin-orbit interaction; Coulomb gap; Coulomb glass; double exchange system; Conductance distribution; UCF; 量子相転移; スケーリング; クーロン ギャップ; 遺伝的アルゴリズム; ランダム磁場; クーロンギャップ; simulated annealing

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.

这项研究的主要目的是研究该疾病引起的相互作用电子系统中的金属 - 绝缘体过渡。这个问题确实很困难，但仍然有提示。在高磁场中的2D电子系统中，可以将相互作用的电子系统映射到具有随机变化的磁通量的系统。我们已经通过数值模拟了此随机通量系统。我们计划调查通量波动不仅在空间上，而且在未来项目中的时间上也是如此。另一种可能的方法是缩放理论。为此，我们已经详细分析了非交互系统中的安德森过渡，尤其是边界条件效应和电导分布。即使没有相互作用，二维安德森过渡也很感兴趣。在存在自旋轨道相互作用的情况下特别有趣。我们精确地确定了该系统的关键指数，并研究了Dephasing的效果。我们还使用遗传算法研究了经典的库仑间隙。还使用水平统计方法研究了量子库仑玻璃。

项目成果

K.Slevin & T.Ohtsuki: "Numerical verification of universality for …"Phys.Rev.. B63. 045108 (2001)

K.Slevin 和 T.Ohtsuki：“……普适性的数值验证”Phys.Rev.. B63 (2001)。

K.Slevin, P.Markos, T.Ohtsuki: "Reconciling conductance fluctuations…"Phys.Rev.Lett.. 86. 3594-3597 (2001)

K.Slevin、P.Markos、T.Ohtsuki：“协调电导波动……”Phys.Rev.Lett.. 86. 3594-3597 (2001)

K.Slevin,T.Ohtsnki & T.Kawara-bayashi: "Topolgy dependent quantities at the Anderson transition"Phys.Rev.Lett. 84. 3915-3918 (2000)

斯莱文,奥茨基

大槻東巳: "不規則電子系の金属絶縁体転移"共立出版. 68 (2000)

Tomomi Otsuki：“无序电子系统中的金属-绝缘体转变”Kyoritsu Shuppan 68 (2000)。

T.Kawarabayashi,B.Kramer & T.Ohtsuki: "Numerical study on Anderson Transitions in 3D"Annalen der Physi k. 8. 487-496 (1999)

川原林,B.克莱默