Random Dirac fermions and non-Hermitian quantum mechanics

被引:46
|
作者
Mudry, C [1 ]
Simons, BD
Altland, A
机构
[1] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA
[2] Univ Koln, Inst Theoret Phys, D-50937 Koln, Germany
[3] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
关键词
D O I
10.1103/PhysRevLett.80.4257
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the influence of a strong imaginary vector potential on the quantum mechanics of particles confined to a two-dimensional plane and propagating in a random impurity potential. We show that the wave functions of the non-Hermitian operator can be obtained as the solution to a two-dimensional Dirac equation in the presence of a random gauge field. Consequences for the localization properties and the critical nature of the states are discussed.
引用
收藏
页码:4257 / 4260
页数:4
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