Mixed-parity superconductivity in centrosymmetric crystals

Abstract

A weak-coupling formalism for superconducting states possessing both singlet (even parity) and triplet (odd parity) components of the order parameter in centrosymmetric crystals is developed. It is shown that the quasiparticle energy spectrum may be non-degenerate even if the triplet component is unitary. The superconducting gap of a mixed-parity state may have line nodes in the strong spin-orbit coupling limit. The pseudospin carried by the superconducting electrons is calculated, from which follows a prediction of a kink anomaly in the temperature dependence of muon spin relaxation rate. The anomaly occurs at the phase boundary between the bare triplet and mixed-parity states. The stability of mixed-parity states is discussed within Ginzburg-Landau theory. The results may have immediate application to the superconducting series Pr(Os,Ru)4Sb12.

5 pages, 2 figures. Final version accepted to PRB

References in corpus (10)

• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Time-Reversal Symmetry-Breaking Superconductivity in Heavy Fermion PrOs4Sb12 detected by Muon Spin Relaxation
• Odd triplet superconductivity in superconductor/ferromagnet multilayered structures
• Multiple Superconducting Phases in New Heavy Fermion Superconductor PrOs4Sb12
• Low temperature specific heat of the heavy fermion superconductor PrOs${}_4$Sb${}_{12}$
• Fermi surface of the heavy fermion superconductor PrOs${}_4$Sb${}_{12}$
• Probing the superconducting gap symmetry of PrOs${}_4$Sb${}_{12}$: A penetration depth study
• Manifestation of triplet superconductivity in superconductor-ferromagnet structures
• Superconductivity and crystalline electric field effects in the filled skutterudite series Pr(Os${}_{1-x}$Ru${}_x$)${}_4$Sb${}_{12}$
• Upper critical fields of quasi-low-dimensional superconductors with coexisting singlet and triplet pairing interactions in parallel magnetic fields

Cited by in corpus (12)

• Temperature Dependence of the Superfluid Density in a Noncentrosymmetric Superconductor
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Spin current in topologically trivial and nontrivial noncentrosymmetric superconductors
• Evolution of crystalline electric field effects, superconductivity, and heavy fermion behavior in the specific heat of Pr(Os${}_{1-x}$Ru${}_x$)${}_4$Sb${}_{12}$
• Quantum-geometry-induced anapole superconductivity
• Unconventional pairing in excitonic condensates under spin-orbit coupling
• Superconducting Diode Effect in Multiphase Superconductors
• Light-induced switching between singlet and triplet superconducting states
• Exotic Superconductivity in the Extended Attractive Hubbard Model
• Impurity induced density of states and residual transport in nonunitary superconductors
• Superconductivity in non-centrosymmetric LaNiC2
• Topological Transitions in a Model for Proximity Induced Superconductivity