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

2009/12/31 by Reza Sepehrinia
Computer Science · Physics and Astronomy · #Quantum many-body systems #Topological Materials and Phenomena #Topological and Geometric Data Analysis #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.81.045104

published as Phys. Rev. B 81, 045104 (2010) · 5 pages, 5 figures, corrected typos

openalex publication_date 2010/01/05 · arxiv created 2010/01/10 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Multifractality and Conformal Invariance at 2D Metal-Insulator Transition in the Spin-Orbit Symmetry Class
• Topological Delocalization of Two-Dimensional Massless Dirac Fermions
• A Measure of data-collapse for scaling