Effect of spin degeneracy on scaling in the quantum Hall regime

Details Effect of spin degeneracy on scaling in the quantum Hall regime Effect of spin degeneracy on scaling in the quantum Hall regime

1994-12-21

arxiv.org/abs/cond-mat/9412102v1

Physics

Condensed Matter

10 pages, RevTeX 3.0, plus 16 uuencoded postscript figures

Scientific paper

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.

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