Kramers' degenerate magnetism and superconductivity

Abstract

Motivated by the recent discovery of odd-parity multipolar antiferromagnetic order in CeRh${}_2$As${}_2$, we examine the coexistence of such translation invariant Kramers' degenerate magnetic states and superconductivity. We show that the presence of such magnetic states generically suppresses superconductivity, whether it be spin-singlet or spin-triplet, unless the magnetic state drives a symmetry-required pair density wave (PDW) superconducting order. We apply our results to CeRh${}_2$As${}_2$, where no pair density wave order appears; and to the loop current order in the cuprates, where such pair density wave superconductivity must appear together with Bogoliubov Fermi surfaces. In the former case, we explain why superconductivity is not suppressed.

11 pages, 4 Figures

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• Appearance of $c$-axis magnetic moment in odd-parity antiferromagnetic state in CeRh${}_2$As${}_2$ revealed by ${}^{75}$As-NMR
• Higher-order Topological States in Chiral Split Magnons of Honeycomb Altermagnets
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field
• Supercurrent-induced antiferromagnetic order and spin-triplet pair generation in quantum critical d-wave superconductors
• Multipolar fluctuations from localized 4f electrons in CeRh2As2
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Composite Superconducting Orders and Magnetism in CeRh${}_2$As${}_2$
• La substitution studies on the heavy-fermion superconductor CeRh${}_2$As${}_2$