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arXiv · 0912.3084

Universality of Anderson transition in two-dimensional systems of symplectic symmetry class

Reza Sepehrinia
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Abstract

We investigate localization of noninteracting particles with spins higher than 1/2 in a two-dimensional random potential in presence of spin-orbit coupling. We consider an integer spin ($s=1$) and a half-integer spin ($s=3/2$) belonging to orthogonal and symplectic symmetry classes, respectively. We show that particles with integer spin are localized and those with half-integer spin exhibit Anderson transition. The transition belongs to universality class of conventional symplectic model for spin-1/2 particles.

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Reza Sepehrinia. 2010-01-10. Universality of Anderson transition in two-dimensional systems of symplectic symmetry class. https://doi.org/10.1103/physrevb.81.045104

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