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Scaling exponents at the mobility edge

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  • Evangelou, S.N.

Abstract

Numerical results are presented for the critical exponents at the Anderson metal-insulator transition in three-dimensional disordered systems and two-dimensional systems in the presence of random spin-orbit coupling. The critical exponent v for the localization length and the η exponent describing correlations, the distributions characterising the energy-level statistics in the tight-binding matrix ensembles, and the continuous set of multifractal exponents Dq for the wave function amplitude fluctuations at the mobility edge, are evaluated. A novel technique for scaling full distribution functions is introduced. The method is outlined and the validity of one-parameter scaling theory is discussed in this context. The results are compared, when possible, with field-theoretic calculations in d = 2 + ϵ dimensions.

Suggested Citation

  • Evangelou, S.N., 1990. "Scaling exponents at the mobility edge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(1), pages 199-214.
    • Handle: RePEc:eee:phsmap:v:167:y:1990:i:1:p:199-214
    DOI: 10.1016/0378-4371(90)90053-U
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