Localization properties of random-mass Dirac fermions from real-space renormalization group

Abstract

Localization properties of random-mass Dirac fermions for a realization of mass disorder, commonly referred to as Cho-Fisher model, is studied on the D-class chiral network. We show that a simple RG description captures accurately three phases: thermal metal and two insulators with quantized Hall conductances, as well as transitions between them (including critical exponents). We find that, with no randomness in phases on the links, transmission via the RG block exhibits a sizable portion of perfect resonances. Delocalization occurs by proliferation of these resonances to larger scales. Evolution of the thermal conductance distribution towards metallic fixed point is synchronized with evolution of signs of transmission coefficients, so that delocalization is accompanied with sign percolation

5 pages, 4 figures

References in corpus (4)

• Localization in disordered superconducting wires with broken spin-rotation symmetry
• Effective mass and tricritical point for lattice fermions localized by a random mass
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
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Cited by in corpus (3)

• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Renormalization group analysis of Dirac fermions with random mass
• Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension