Possible pairing symmetries in SrPtAs with a local lack of inversion center

Abstract

We discuss possible pairing symmetries in the hexagonal pnictide superconductor SrPtAs. The local lack of inversion symmetry of the two distinct conducting layers in the unit cell results in a special spin-orbit coupling with a staggered structure. We classify the pairing symmetry by the global crystal point group D_3d, and suggest some candidates for the stable state using a tight-binding model with an in-plane, density-density type pairing interaction. We may have some unconventional states like s+f-wave and a mixture of chiral d-wave and chiral p-wave. The spin orbit coupling is larger than the interlayer hopping, and the mixing between spin-singlet and triplet states can be seen in spite of the fact that the system has a global inversion center.

arXiv comment5 pages, 3 figures

References in corpus (13)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Pairing Symmetry and Pairing State in Ferropnictides: Theoretical Overview
• Topology of Andreev Bound States with Flat Dispersion
• Topological phases and surface flat bands in superconductors without inversion symmetry
• On edge states in superconductor with time inversion symmetry breaking
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Nuclear Magnetic Relaxation Rate in a Noncentrosymmetric Superconductor
• Superconductivity and local non-centrosymmetricity in crystal lattices

Cited by in corpus (54)

• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Chiral d-wave superconductivity in doped graphene
• Evidence for Time-Reversal-Symmetry-Broken Superconductivity in Locally Noncentrosymmetric SrPtAs
• Protected boundary states in gapless topological phases
• Possible Topological Superconducting Phases of MoS${}_2$
• Chiral $d$-wave Superconductivity in SrPtAs
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Recent progress on superconductors with time-reversal symmetry breaking
• Unconventional superconductivity in bilayer transition metal dichalcogenides
• Leggett modes in iron-based superconductors as a probe of Time Reversal Symmetry Breaking
• Unconventional superconducting gap structure protected by space group symmetry
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Quantum phase diagram of the spin-$1$ $J_1-J_2$ Heisenberg model on the honeycomb lattice
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Parity-Mixed Superconductivity in Locally Non-centrosymmetric System
• Electron-phonon superconductivity in $A$Pt${}_3$P compounds: from weak to strong coupling
• Spin-singlet superconductivity with a full gap in locally non-centrosymmetric SrPtAs
• Superconductivity in the Hexagonal Ternary Phosphide ScIrP
• CaPtAs: a new noncentrosymmetric superconductor
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Bulk angular momentum and Hall viscosity in chiral superconductors
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Superconductivity in Ca10(Ir4As8)(Fe2As2)5 with Square-Planar Coordination of Iridium
• Superconductivity in Hexagonal BaPtAs: SrPtSb- and YPtAs-type Structures with Ordered Honeycomb Network
• Symmetry and Gap Classification of the non-symmorphic SrPtAs
• Multigap superconductivity in locally non-centrosymmetric SrPtAs: An As nuclear quadrupole resonance investigation
• 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
• High-resolution magnetic penetration depth and inhomogeneities in locally noncentrosymmetric SrPtAs
• Topological Ising pairing states in monolayer and trilayer TaS${}_2$
• Drumhead surface states and their signatures in quasiparticle scattering interference
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Gap function of hexagonal pnictide superconductor SrPtAs from quasiparticle interference spectrum
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• Superconductivity in MgPtSi: An orthorhombic variant of MgB2
• Superconductivity in PtSbS with a Noncentrosymmetric Cubic Crystal Structure
• Spin-Orbit Coupling in Multilayer Superconductors with Charge Imbalance
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Superconductivity in Two-Dimensional Systems with Unconventional Rashba Bands
• Phenomenology of the chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Superconducting gap anisotropy and topological singularities due to lattice translational symmetry and their thermodynamic signatures
• Nematic and time-reversal breaking superconductivities coexisting with quadrupole order in a ${\Gamma }_3$ system
• Spontaneous surface current in multi-component cubic superconductors with time-reversal symmetry breaking
• Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling
• Uniform and Staggered electric axial moment in zigzag chain
• Orbital angular momentum in a topological superconductor with Chern number higher than $1$
• Valence band electronic structure of Pd based ternary chalcogenide superconductors
• Antiferromagnetic Order and Magnetic Frustration in the Honeycomb Heavy-Fermion System Ce(Pt${}_{1-x}$Pd${}_x$)${}_6$Al${}_3$: ${}^{27}$Al and ${}^{195}$Pt NMR Studies
• Possible Pairing Symmetry of BaPtAs${}_{1-x}$Sb${}_x$ with an Ordered Honeycomb Network
• Field resilient superconductivity in atomic layer crystalline materials
• Magnetic excitations in the helical Rashba superconductor