Abstract
The localization properties of three different gauge invariant disordered electronic systems are studied by numerical methods with the purpose to clarify their localization properties and to evaluate the dc-resistivity atT=0 K as far as possible. The three different models, two of which involve also spin-dependent scattering processes, represent three different universality classes, corresponding to orthogonal, unitary, and symplectic matrix ensembles, respectively, in a field-theoretic representation. For the symplectic case, which corresponds to a situation with dominating spin-orbit scattering, we find hints for an unconventional transition, separating weakly antilocalized from exponentially localized states, whereas in the other two cases instead of a sharp transition only a drastic crossover between weak localization and exponential localization seems to happen. For the symplectic model also the magnetoresistivity is calculated; we find a negative magnetoresistivity if the Zeeman splitting is neglected, whereas by inclusion of Zeeman splitting the magnetoresistivity is positive.
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Krey, U., Maaß, W. & Stein, J. Numerical studies on the Anderson localization problem. Z. Physik B - Condensed Matter 49, 199–208 (1982). https://doi.org/10.1007/BF01313027
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DOI: https://doi.org/10.1007/BF01313027