Symmetry and Gap Classification of the non-symmorphic SrPtAs

Abstract

The hexagonal superconductor SrPtAs exhibits time-reversal-symmetry breaking below $T_c$, hinting at an unconventional pairing state. Therefore, the symmetry of the underlying crystal is important for the classification of possible gap structures and their mixing. Here, we use the generating point group D${}_{6h}$ of SrPtAs for a comprehensive classification of the gap functions and to construct a tight-binding model. Our work clarifies questions of symmetry and topology in this non-symmorphic material and allows for better comparison with other hexagonal systems.

Includes corrections published in Erratum J. Phys. Soc. Jpn. 86, 068001 (2017)

References in corpus (7)

• Classification of topological insulators and superconductors in three spatial dimensions
• Chiral $d$-wave Superconductivity in SrPtAs
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Spin-singlet superconductivity with a full gap in locally non-centrosymmetric SrPtAs
• Multigap superconductivity in locally non-centrosymmetric SrPtAs: An As nuclear quadrupole resonance investigation
• Gap function of hexagonal pnictide superconductor SrPtAs from quasiparticle interference spectrum

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• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Evidence of a two-component order parameter in 4Hb-TaS2 in the Little-Parks effect
• Superconductivity in Hexagonal BaPtAs: SrPtSb- and YPtAs-type Structures with Ordered Honeycomb Network
• Possibility of chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Superconductivity in BaPtSb with an Ordered Honeycomb Network
• Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry
• Drumhead surface states and their signatures in quasiparticle scattering interference
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Phenomenology of the chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Superconducting gap anisotropy and topological singularities due to lattice translational symmetry and their thermodynamic signatures
• Nodeless superconductivity in 4H${}_b$-TaS${}_2$ with broken time reversal symmetry
• Study on Susceptibilities of Superconductors BaPtSb and BaPtAs with Honeycomb Structure