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Numerical studies on the Anderson localization problem

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  • Stein, J.
  • Krey, U.

Abstract

The Anderson localization transition has been studied by numerical methods for very large two- and three-dimensional samples with up to 30 000 sites, varying both the energy and the strength of disorder of the electronic system, which is described by a tight-binding Hamiltonian with both diagonal and off-diagonal disorder. By an orthogonal transformation, the system is mapped numerically onto an equivalent semi-infinite chain. This transformation allows not only for a real-space renormalization by decimation, which is numerically exact, but also for a calculation of eigenstates, various Green's functions, and finally also for an evaluation of the conductivity directly from the Kubo formula.

Suggested Citation

  • Stein, J. & Krey, U., 1981. "Numerical studies on the Anderson localization problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 326-343.
    • Handle: RePEc:eee:phsmap:v:106:y:1981:i:1:p:326-343
    DOI: 10.1016/0378-4371(81)90230-2
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