Supersymmetry and localization in the quantum Hall effect

被引：40
作者：
Kondev, J
Marston, JB
机构：
[1] Department of Physics, Brown University, Providence
来源：
NUCLEAR PHYSICS B | 1997年 / 497卷 / 03期
基金：
美国国家科学基金会;
关键词：
quantum Hall effect; localization; disordered systems; supersymmetry;
D O I：
10.1016/S0550-3213(97)00300-3
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 study the localization transition in the integer quantum Hall effect as described by the network model of quantum percolation. Starting from a path integral representation of transport Green functions for the network model, which employs both complex (bosonic) and Grassmann (fermionic) fields, we map the problem of localization to the problem of diagonalizing a one-dimensional non-hermitian Hamiltonian of interacting bosons and fermions. An exact solution is obtained in a restricted subspace of the Hilbert space which preserves boson-fermion supersymmetry. The physically relevant regime is investigated using the density matrix renormalization group (DMRG) method, and critical behavior is found at the plateau transition. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：639 / 657
页数：19
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