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Kosterlitz-Thouless-type metal-insulator transition of a 2D electron gas in a random magnetic field

Authors Xie, XC
Wang, XR
Liu, DZ
Issue Date 1998
Source Physical review letters, v. 80, (16), 1998, APR 20, p. 3563-3566
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 Physical Review Letters © copyright 1998 American Physical Society. The Journal's web site is located at
Language English
Format Article
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