Universality of Anderson transition in two-dimensional systems of symplectic symmetry class
arXiv:0912.3084 · doi:10.1103/PhysRevB.81.045104
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 () and a half-integer spin () 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.
5 pages, 5 figures, corrected typos
References in corpus (11)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Anderson Transitions
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Topological delocalization of two-dimensional massless Dirac fermions
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Localization in a quantum spin Hall system
- Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
- Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
- Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
- Wave function statistics at the symplectic 2D Anderson transition: bulk properties