Localization transitions in non-Hermitian quantum mechanics

被引：1145
作者：
Hatano, N
Nelson, DR
机构：
[1] Lyman Laboratory of Physics, Harvard University, Cambridge, MA
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1103/PhysRevLett.77.570
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schrodinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux Lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that, close to the depinning transition, the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into tire bulk and a diverging penetration depth.
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页码：570 / 573
页数：4
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