Topological field theory and thermal responses of interacting topological superconductors

Abstract

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$ classification of topological superconductors, and predicts a half-quantized thermal Hall effect on the surface. The second description introduces an s-wave proximity pairing field on the surface, and the associated topological defects give an integer $Z$ classification of the topological superconductors.

5 pages,1 figure. Slightly modified version. Title is changed

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• On the $Z_2$ classification of Quantum Spin Hall Models

Cited by in corpus (35)

• Topology of crystalline insulators and superconductors
• Axion Electrodynamics in Topological Materials
• Axion topological field theory of topological superconductors
• Exceptional Bound States and negative Entanglement Entropy
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function
• Composite Dirac liquids: parent states for symmetric surface topological order
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Superconducting doped topological materials
• Chern-Simons Theory and Wilson Loops in the Brillouin Zone
• Bridging Fermionic and Bosonic Short Range Entangled States
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Electromagnetic and thermal responses of Z topological insulators and superconductors in odd spatial dimensions
• Thermal metal-insulator transition in a helical topological superconductor
• Scalar field couplings to quadratic curvature and decay into gravitons
• Weyl fermions induced Magnon electrodynamics in Weyl semimetal
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Quarter-quantized thermal Hall effect with parity anomaly
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases
• Exotic Invertible Phases with Higher-Group Symmetries
• Fractionalized Metals and Superconductors in Three Dimensions
• Gravitational waves propagation in nondynamical Chern-Simons gravity
• Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response
• Induced topological order at the boundary of 3D topological superconductors
• Quantized thermal and spin transports of dirty planar topological superconductors
• Geometric and computational aspects of chiral topological quantum matter
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain
• Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases