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

Abstract

We investigate localization of noninteracting particles with spins higher than $\frac{1}{2}$ in a two-dimensional random potential in presence of spin-orbit coupling. We consider an integer spin $(s=1)$ and a half-integer spin $(s=\frac{3}{2})$ 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-$\frac{1}{2}$ particles.