Dynamical axion in topological superconductors and superfluids

Abstract

We consider dynamical axion phenomena in topological superconductors and superfluids in three spatial dimensions in terms of the gravitoelectromagnetic topological action, in which the axion field couples with mechanical rotation under finite temperature gradient. The dynamical axion is induced by relative phase fluctuations between topological and s-wave superconducting orders. We show that an antisymmetric spin-orbit interaction which induces parity-mixing of Cooper pairs enlarges the parameter region in which the dynamical axion fluctuation appears as a low-energy excitation. We propose that the dynamical axion increases the moment of inertia, and in the case of ac mechanical rotation, i.e. a shaking motion with a finite frequency $\omega$, as $\omega$ approaches the dynamical axion fluctuation mass, the observation of this effect becomes feasible.

14 pages, 3 figures

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Cited by in corpus (18)

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• Lattice QCD and heavy ion collisions: a review of recent progress
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• Superconducting doped topological materials
• Observation of the Axion quasiparticle in 2D MnBi${}_2$Te${}_4$
• Quantum-geometry-induced anapole superconductivity
• Scalar field couplings to quadratic curvature and decay into gravitons
• Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Axion instability and non-linear electromagnetic effect
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Gravitational waves propagation in nondynamical Chern-Simons gravity
• Axion mass in antiferromagnetic insulators
• Topology-insensitive axion mass in magnetic topological insulators
• Fermion-Vortex Interactions in Axion Electrodynamics
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain