Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators

Abstract

We study the quantum anomalous thermal Hall effect in a topological superconductor which possesses an integer bulk topological number, and supports Majorana excitations on the surface. To realize the quantum thermal Hall effect, a finite gap at the surface is induced by applying an external magnetic field or by the proximity effects with magnetic materials or $s$-wave superconductors with complex pair-potentials. Basing on the lattice model Hamiltonian for superconducting states in Cu-doped Bi${}_2$Se${}_3$, we compute the thermal Hall conductivity as a function of various parameters such as the chemical potential, the pair-potential, and the spin-orbit coupling induced band gap. It is argued that the bulk topological invariant corresponds to the quantization rule of the thermal Hall conductivity induced by complex $s$-wave pair-potentials.

arXiv comment7 pages, 6 figures

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Cited by in corpus (8)

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• Disorder-enhanced topological protection and universal quantum criticality in a spin-3/2 topological superconductor
• The non-commutative topology of two-dimensional dirty superconductors
• Directly probing the chirality of Majorana edge states
• Quantized Thermal Hall Conductance and the Topological Phase Diagram of a Superconducting Bismuth Bilayer
• Majorana Spin Current Generation by Dynamic Strain
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions