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Anderson localization problem: An exact solution for 2-D anisotropic systems

Author

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  • Kuzovkov, V.N.
  • von Niessen, W.

Abstract

Our previous results [V.N. Kuzovkov, W. von Niessen, V. Kashcheyevs, O. Hein, J. Phys. Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping matrix elements in transverse directions). We discuss the mathematical nature of the metal–insulator phase transition which occurs in the 2-D case, in contrast to the 1-D case, where such a phase transition does not occur. In anisotropic systems two localization lengths arise instead of only one length.

Suggested Citation

  • Kuzovkov, V.N. & von Niessen, W., 2007. "Anderson localization problem: An exact solution for 2-D anisotropic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 115-124.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:1:p:115-124
    DOI: 10.1016/j.physa.2006.11.005
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