Scaling exponents at the mobility edge

S.N. Evangelou

Physica A: Statistical Mechanics and its Applications, 1990, vol. 167, issue 1, 199-214

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:167:y:1990:i:1:p:199-214

DOI: 10.1016/0378-4371(90)90053-U

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