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

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

2009-12-16

arxiv.org/abs/0912.3084v2

Phys. Rev. B 81, 045104 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 5 figures, corrected typos

Scientific paper

10.1103/PhysRevB.81.045104

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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