Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids

Abstract

We theoretically search for dynamical cross-correlated responses of three-dimensional topological superconductors and superfluids. It has been suggested that a gravitational topological term, which is analogous to the theta term in topological insulators, can be derived in three-dimensional time-reversal invariant topological superconductors and superfluids, and that the dynamical gravitational axion field can be realized by the fluctuation of the relative phase, i.e., by the Leggett mode between topological $p$-wave pairing and conventional $s$-wave pairing. In the presence of the dynamical gravitational axion field, we propose the emergence of the "chiral gravitomagnetic effect", a thermal current generation by gravitomagnetic fields, i.e., by mechanical rotations. This effect can be regarded as a thermal counterpart of the chiral magnetic effect which has been studied mainly in Weyl semimetals. We also show the occurrence of the anomalous thermal Hall effect in the bulk. We discuss a possible application of our study to the thermal responses of Weyl superconductors.

6 pages, 1 figure, 1 table

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Cited by in corpus (9)

• Axion Electrodynamics in Topological Materials
• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• Chiral torsional effect with finite temperature, density and curvature
• Quantum Kinetic Theory of Thermoelectric and Thermal Transport in a Magnetic Field
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Quaternion algebra on 4D superfluid quantum space-time. Gravitomagnetism
• Gravitational waves propagation in nondynamical Chern-Simons gravity
• Topological magnetoelectric pump in three dimensions
• Quantum-geometric thermal conductivity of superconductors