Non-local corrections to the typical medium theory of Anderson localization

被引：2

作者：

Terletska, H. ^{[1
]}

Moilanen, A. ^{[1
]}

Tam, K-M ^{[2
,3
]}

Zhang, Y. ^{[4
]}

Wang, Y. ^{[5
]}

Eisenbach, M. ^{[6
]}

Vidhyadhiraja, N. S. ^{[7
]}

Chioncel, L. ^{[8
,9
]}

Moreno, J. ^{[2
,3
]}

机构：

[1] Middle Tennessee State Univ, Dept Phys & Astron, Computat Sci Program, Murfreesboro, TN 37132 USA

[2] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[3] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[4] Univ Chinese Acad Sci, Kavli Inst Theoret Sci, Beijing 100190, Peoples R China

[5] Carnegie Mellon Univ, Pittsburgh Supercomp Ctr, Pittsburgh, PA 15213 USA

[6] Oak Ridge Natl Lab, Ctr Computat Sci, Oak Ridge, TN 37831 USA

[7] Jawaharlal Nehru Ctr Adv Sci Res, Theoret Sci Unit, Bangalore, Karnataka, India

[8] Univ Augsburg, Inst Phys, Ctr Elect Correlat & Magnetism, Theoret Phys 3, D-86135 Augsburg, Germany

[9] Univ Augsburg, Augsburg Ctr Innovat Technol, D-86135 Augsburg, Germany

来源：

ANNALS OF PHYSICS | 2021年 / 435卷

关键词：

Disorder; Anderson localization; Cluster embedding; Typical medium approach; TMDCA; MEAN-FIELD THEORY; DIFFUSION; ABSENCE;

D O I：

10.1016/j.aop.2021.168454

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the recently developed finite cluster typical medium approach to study the Anderson localization transition in three dimensions. Applying our method to the box and binary alloy disorder distributions, we find a fast convergence with the cluster size. We demonstrate the importance of the typical medium environment and the non-local spatial correlations for the proper characterization of the localization transition. As the cluster size increases, our typical medium cluster method recovers the correct critical disorder strength for the transition. Our findings highlight the importance of the non-local cluster corrections for capturing the localization behavior of the mobility edge trajectories. Our results demonstrate that the typical medium cluster approach developed here provides a consistent and systematic description of the Anderson localization transition in the framework of the effective medium embedding schemes. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：11

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