Superconductivity without inversion and time-reversal symmetries

Abstract

The traditional symmetries that protect superconductivity are time-reversal and inversion. Here, we examine the minimal symmetries protecting superconductivity in two dimensions and find that time-reversal symmetry and inversion symmetry are not required, and having a combination of either symmetry with a mirror operation on the basal plane is sufficient. We classify superconducting states stabilized by these two symmetries, when time-reversal and inversion symmetries are not present, and provide realistic minimal models as examples. Interestingly, several experimentally realized systems, such as transition metal dichalcogenides and the two-dimensional Rashba system belong to this category, when subject to an applied magnetic field.

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Cited by in corpus (24)

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• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Robust parity-mixed superconductivity in disordered monolayer transition metal dichalcogenides
• Crystalline Nodal Topological Superconductivity and Bogolyubov Fermi Surfaces in Monolayer NbSe${}_2$
• Ising superconductors: Interplay of magnetic field, triplet channels, and disorder
• s+if pairing in Ising superconductors
• Theory of optical responses in clean multi-band superconductors
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Signatures of triplet correlations in density of states of Ising superconductors
• Engineering nodal topological phases in Ising superconductors by magnetic superstructures
• Designing spin-textured flat bands in twisted graphene multilayers via helimagnet encapsulation
• Rashba-metal to Mott-insulator transition
• Interaction-induced topological superconductivity in antiferromagnet-superconductor junctions
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Moiré Superstructures in Marginally-Twisted NbSe${}_2$ Bilayers
• Picosecond Trajectory of Two-dimensional Vortex Motion in FeSe${}_{0.5}$Te${}_{0.5}$ Visualized by Terahertz Second Harmonic Generation
• Planar Hall effect from superconducting fluctuations
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Superconducting magnetoelectric effects in mesoscopic hybrid structures
• Josephson junctions of topological nodal superconductors