Metal-insulator transition in a 2D system of chiral unitary class

Abstract

We perform a numerical investigation of Anderson metal-insulator transition (MIT) in a twodimensional system of chiral symmetry class AIII by combining finite-size scaling, transport, density of states, and multifractality studies. The results are in agreement with the sigma-model renormalization-group theory, where MIT is driven by proliferation of vortices. We determine the phase diagram and find an apparent non-universality of several parameters on the critical line of MIT, which is consistent with the analytically predicted slow renormalization towards the ultimate fixed point of the MIT. The localization-length exponent $\nu$ is estimated as $\nu =1.55\pm 0.10$.

11 pages, 10 figures

References in corpus (13)

• Anderson Transitions
• Photonic Topological Anderson Insulators
• Universality classes of the Anderson Transitions Driven by non-Hermitian Disorder
• Topology vs. Anderson localization: non-perturbative solutions in one dimension
• Exponents of the localization length in the 2D Anderson model with off-diagonal disorder
• Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
• Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Generalized multifractality at spin quantum Hall transition
• Disordered two-dimensional electron systems with chiral symmetry
• Scaling at chiral quantum critical points in two dimensions
• Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
• Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables

Cited by in corpus (9)

• Topological effect on the Anderson transition in chiral symmetry classes
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Generalized surface multifractality in 2D disordered systems
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• Band-center metal-insulator transition in bond-disordered graphene
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Critical States of Fermions with ${\mathbb{Z}}_2$ Flux Disorder