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Kosterlitz-Thouless-Type Metal-Insulator Transition of a 2D Electron Gas in a Random Magnetic Field

Authors Xie, Xin Cheng
Wang, Xiangrong View this author's profile
Liu, Dongzi
Issue Date 1998
Source Physical Review Letters , v. 80, (16), April 1998
Summary We study the localization property of a two-dimensional noninteracting electron gas in the presence of a random magnetic field. The localization length is directly calculated using a transfer matrix technique and finite size scaling analysis. We show strong numerical evidence that the system undergoes a disorder-driven Kosterlitz-Thouless-type metal-insulator transition. We develop a mean field theory which maps the random field system into a two-dimensional XY model. The vortex and antivortex excitations in the XY model correspond to two different kinds of magnetic domains in the random field system.
ISSN 0031-9007
Rights © 1998 The American Physical Society
Language English
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