Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing

Abstract

Recently, superconductivity with spontaneous time-reversal or parity symmetry breaking is attracting much attention owing to its exotic properties, such as nontrivial topology and nonreciprocal transport. Particularly fascinating phenomena are expected when the time-reversal and parity symmetry are simultaneously broken. This work shows that time-reversal symmetry-breaking mixed-parity superconducting states generally exhibit an unusual asymmetric Bogoliubov spectrum due to nonunitary interband pairing. For generic two-band models, we derive the necessary conditions for the asymmetric Bogoliubov spectrum. We also demonstrate that the asymmetric Bogoliubov quasiparticles lead to the effective anapole moment of the superconducting state, which stabilizes a nonuniform Fulde-Ferrell-Larkin-Ovchinnikov state at zero magnetic fields. The concept of anapole order employed in nuclear physics, magnetic materials science, strongly correlated electron systems, and optoelectronics is extended to superconductors by this work. Our conclusions are relevant for any multiband superconductors with competing even- and odd-parity pairing channels. Especially, we discuss the superconductivity in UTe${}_2$.

14 pages, 4 figures

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Cited by in corpus (29)

• Unconventional Superconductivity in UTe2
• Field Induced Multiple Superconducting Phases in UTe2 along Hard Magnetic Axis
• Quantum-geometry-induced anapole superconductivity
• Nonreciprocal Meissner response in parity-mixed superconductors
• Piezoelectric effect and diode effect in anapole and monopole superconductors
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• Quantum geometry encoded to pair potentials
• Superconducting Diode Effect in Multiphase Superconductors
• Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce${}_3$TiBi${}_5$
• Phase-modulated superconductivity via altermagnetism
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