Universal critical exponent in class D superconductors

Abstract

We study a physical system consisting of non-interacting quasiparticles in disordered superconductors that have neither time-reversal nor spin-rotation invariance. This system belongs to class D within the recent classification scheme of random matrix ensembles (RME) and its phase diagram contains three different phases: metallic and two distinct localized phases with different quantized thermal Hall conductances. We find that critical exponents describing different transitions (insulator-to-insulator and insulator-to-metal) are identical within the error of numerical calculations and also find that critical disorder of the insulator-to-metal transition is energy independent.

3.5 pages 4 figures

References in corpus (13)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Riemannian symmetric superspaces and their origin in random matrix theory
• The spin quantum Hall effect in unconventional superconductors
• Exact exponents for the spin quantum Hall transition
• Quasiparticle localization in superconductors with spin-orbit scattering
• The two-dimensional random-bond Ising model, free fermions and the network model
• Quasiparticle transport and localization in high-T_c superconductors
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Quantum Hall plateau transitions in disordered superconductors
• Thermal metal in network models of a disordered two-dimensional superconductor
• Random-bond Ising model in two dimensions, the Nishimori line, and supersymmetry
• Criticality in the two-dimensional random-bond Ising model
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect

Cited by in corpus (13)

• Effective mass and tricritical point for lattice fermions localized by a random mass
• Absence of a metallic phase in charge-neutral graphene with a random gap
• Thermal metal-insulator transition in a helical topological superconductor
• Topological Random Fractals
• Disorder effects in correlated topological insulators
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Critical fixed points in class D superconductors
• Renormalization group analysis of Dirac fermions with random mass
• Localization properties of random-mass Dirac fermions from real-space renormalization group
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions