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Low-Dimensional Functional Materials pp 15–26Cite as

Two-Dimensional Lattice Fermions with Random Gap

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Abstract

We calculate the localization lengths for lattice fermions with random gap in two dimensions. This is done by means of the transfer matrix approach. Numerical results are analyzed for finite-size scaling and they exhibit a metal-insulator and a insulator-insulator transition. At these transitions we calculate the critical exponent of the localization length.

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Author information

Authors and Affiliations

  1. Institut für Physik, Universität Augsburg, D-86135, Augsburg, Germany

    Antonio Hill & Klaus Ziegler

Authors
  1. Antonio Hill
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  2. Klaus Ziegler
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Corresponding author

Correspondence to Klaus Ziegler .

Editor information

Editors and Affiliations

  1. , Institut für Theoretische Physik IV, Heinrich-Heine-Universität, Universitätsstrasse 1, Düsseldorf, 40225, Germany

    Reinhold Egger

  2. Laboratory for Advanced Studies, Department of Energy, Turin Polytechnic University in Tashkent, Niyazov St. 17, Tashkent, 100174, Uzbekistan

    Davron Matrasulov

  3. , Department of Physics, National University of Uzbekistan, Niyazov St. 17, Tashkent, 100174, Uzbekistan

    Khamdam Rakhimov

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Hill, A., Ziegler, K. (2013). Two-Dimensional Lattice Fermions with Random Gap. In: Egger, R., Matrasulov, D., Rakhimov, K. (eds) Low-Dimensional Functional Materials. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6618-1_2

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