Large-disorder renormalization group study of the Anderson model of localization

被引：8

作者：

Johri, Sonika ^{[1
]}

Bhatt, R. N. ^{[1
,2
]}

机构：

[1] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

PHYSICAL REVIEW B | 2014年 / 90卷 / 06期

关键词：

QUANTUM SPIN CHAINS; RANDOM ANTIFERROMAGNETIC SYSTEMS; ANTI-FERROMAGNETIC CHAIN; DECIMATION; BEHAVIOR;

D O I：

10.1103/PhysRevB.90.060205

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We describe a large-disorder renormalization group (LDRG) method for the Anderson model of localization in one dimension which decimates eigenstates based on the size of their wave functions rather than their energy. We show that our LDRG scheme flows to infinite disorder, and thus becomes asymptotically exact. We use it to obtain the disorder-averaged inverse participation ratio (IPR) and density of states (DOS) for the entire spectrum. A modified scheme is formulated for higher dimensions, which is found to be less efficient, but capable of improvement.

引用

页数：5

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