Numerical Studies of Localization in Two Dimensions

Lee, P. A.

doi:10.1007/978-3-642-81841-7_7

Numerical Studies of Localization in Two Dimensions

P. A. Lee⁴

Conference paper

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 39))

Abstract

We review the recent work of Lee and Fisher in which the conductance for a two dimensional tight binding model with on site disorder is calculated numerically using the Kubo formula. For weak disorder logarithmic localization is observed, in agreement with the scaling theory. The magnetoresistance is found to be negative in both the logarithmic and exponential localization regimes. Results for a model with random hopping matrix elements are also presented.

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Authors and Affiliations

Bell Laboratories, Murray Hill, NJ, 07974, USA
P. A. Lee

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P. A. Lee
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Editors and Affiliations

Research Institute for Fundamental Physics Yukawa Hall, Kyoto University, Kyoto 606, Japan
Yosuke Nagaoka Ph.D.
Institute for Solid-State Physics, University of Tokyo, Minato-ku, Tokyo 106, Japan
Hidetoshi Fukuyama Ph.D.

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Lee, P.A. (1982). Numerical Studies of Localization in Two Dimensions. In: Nagaoka, Y., Fukuyama, H. (eds) Anderson Localization. Springer Series in Solid-State Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81841-7_7

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DOI: https://doi.org/10.1007/978-3-642-81841-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81843-1
Online ISBN: 978-3-642-81841-7
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