Effect of spin degeneracy on scaling in the quantum Hall regime

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We study the delocalization transition for spin-polarized and spin-degenerate non-interacting electrons in the lowest Landau level. We perform finite-size scaling calculations of the Thouless number, for varying amounts of potential and spin-orbit scattering. {}For spin-polarized electrons, we obtain a one-parameter scaling function for the Thouless number that fits scaled experimental data for the longitudinal resistivity. For spin-degenerate electrons with spin-orbit scattering, the Thouless number is peaked away from the band center by an amount proportional to the strength of the spin-orbit scattering. The universality class of the delocalization transition for non-interacting spin-degenerate electrons in the quantum Hall regime is found to be the same as for spin-polarized electrons. We also study the density of states and Thouless number for the model of pure spin-orbit scattering studied by Hikami, Shirai, and Wegner [Nucl. Phys. {\bf B408}, 415 (1993)], which represents a different universality class.
10 pages, RevTeX 3.0, plus 16 uuencoded postscript figures

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Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/27226

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9412102
 http://arxiv.org/abs/cond-mat/9412102

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arXiv