Distribution of eigenvalues in non-Hermitian Anderson models

被引：151
|
作者：
Goldsheid, IY [1 ]
Khoruzhenko, BA
机构：
[1] Isaac Newton Inst Math Sci, Cambridge CB3 0EH, England
[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 13期
关键词：
D O I：
10.1103/PhysRevLett.80.2897
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop a theory which describes the behavior of eigenvalues of a class of one-dimensional random non-Hermitian operators introduced recently by Hatano and Nelson. We prove that the eigenvalues are distributed along a curve in the complex plane. An equation for the curve is derived, and the density of complex eigenvalues is found in terms of spectral characteristics of a "reference" Hermitian disordered system. The generic properties of the eigenvalue distribution are discussed.
引用
收藏
页码：2897 / 2900
页数：4
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