Large N spin quantum Hall effect

被引：4

作者：

Bernard, D ^{[1
]}

Regnault, N ^{[1
]}

Serban, D ^{[1
]}

机构：

[1] CEA Saclay, URA 2306 CNRS, Serv Phys Theor Saclay, Lab Direct Sci Mat, F-91191 Gif Sur Yvette, France

来源：

NUCLEAR PHYSICS B | 2001年 / 612卷 / 03期

关键词：

D O I：

10.1016/S0550-3213(01)00352-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We introduce a large N version of the spin quantum Hall transition problem. It is formulated as a problem of Dirac fermions coupled to disorder, whose Hamiltonian belong to the symmetry class C. The fermions carry spin degrees of freedom valued in the algebra sp(2N), the spin quantum Hall effect corresponding to N = 1. Arguments based on renormalization group transformations as well as on a sigma model formulation, valid in the large N Limit, indicate the existence of a crossover as N varies. Contrary to the N = I case, the large N models are shown to lead to localized states at zero energy. We also present a sigma model analysis for the system of Dirac fermions coupled to only sp(2N) random gauge potentials, which reproduces known exact results. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：291 / 312

页数：22

共 27 条

[1] Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures [J].