Temperature enhancement of thermal Hall conductance quantization

Abstract

The quest for non-Abelian quasiparticles has inspired decades of experimental and theoretical efforts, where the scarcity of direct probes poses a key challenge. Among their clearest signatures is a thermal Hall conductance with quantized half-integer value in natural units ${\pi }^2{k}_B^{2}T/3h$ ($T$ is temperature, $h$ the Planck constant, $k_B$ the Boltzmann constant). Such a value was indeed recently observed in a quantum-Hall system and a magnetic insulator. We show that a non-topological "thermal metal" phase that forms due to quenched disorder may disguise as a non-Abelian phase by well approximating the trademark quantized thermal Hall response. Remarkably, the quantization here improves with temperature, in contrast to fully gapped systems. We provide numerical evidence for this effect and discuss its possible implications for the aforementioned experiments.

6+4 pages, 4+4 figures. This is the final, published version

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• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Topologically distinct atomic insulators
• Network model for higher-order topological phases
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Domain Formation Driven by the Entropy of Topological Edge Modes
• Emergent quantum Majorana metal from a chiral spin liquid
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Renormalization group analysis of Dirac fermions with random mass
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Domain Textures in the Fractional Quantum Hall Effect
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Quantized thermal and spin transports of dirty planar topological superconductors
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
• Elevated Hall Responses as Indicators of Edge Reconstruction