6533b7d8fe1ef96bd126ac92

RESEARCH PRODUCT

How Universal is the Scaling Theory of Localization?

Michael Schreiber

subject

Physicssymbols.namesakeDistribution (number theory)GaussianDiagonalsymbolsStatistical physicsFunction (mathematics)Triangular distributionAnderson impurity modelCritical exponentScaling

description

The numerical implementation of the one-parameter scaling theory of localization is reviewed for the Anderson model of disordered solids. A finite-size scaling procedure is used to derive the 3D localization length and d.c.-conductivity from the raw data computed for quasi-1D systems by the strip-and-bar method. While a common scaling function can be unambiguously obtained for different distributions of the diagonal disorder in the Anderson model, discrepancies appear between the box and the Gaussian distribution with regard to the derived critical exponents. To discuss these effects, new results are presented for a triangular distribution, and a new method for the computation of the critical exponents is introduced, which yields larger values than previously obtained.

yearjournalcountryeditionlanguage
1991-01-01
https://doi.org/10.1007/978-1-4684-5940-1_28