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.

7 pages, 6 figures

References in corpus (9)

• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Topological Crystalline Insulators
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Topological field theory and thermal responses of interacting topological superconductors
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Surface Majorana Cone of the Superfluid ${}^3$He B Phase

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• Majorana Spin Current Generation by Dynamic Strain
• Double-twisted surface spectrum from hybridized Majorana Kramers pairs and wallpaper fermions