Surface magnetism in a chiral d-wave superconductor with hexagonal symmetry

Abstract

Surface properties are examined in a chiral d-wave superconductor with hexagonal symmetry, whose one-body Hamiltonian possesses the intrinsic spin-orbit coupling identical to the one characterizing the topological nature of the Kane-Mele honeycomb insulator. In the normal state spin-orbit coupling gives rise to spontaneous surface spin currents, whereas in the superconducting state there exist besides the spin currents also charge surface currents, due to the chiral pairing symmetry. Interestingly, the combination of these two currents results in a surface spin polarization, whose spatial dependence is markedly different on the zigzag and armchair surfaces. We discuss various potential candidate materials, such as SrPtAs, which may exhibit these surface properties.

7 pages, 9 figures, the final version has been accepted for publication in Phys. Rev. B

References in corpus (9)

• Classification of topological insulators and superconductors in three spatial dimensions
• Superconductivity in the Honeycomb-Lattice Pnictide SrPtAs
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Vanishing edge currents in non-$p$-wave topological chiral superconductors
• Orbital Angular Momentum and Spectral Flow in Two Dimensional Chiral Superfluids
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Properties of edge states in spin-triplet two-band superconductor
• Möbius topological superconductivity in UPt${}_3$
• Spin-singlet superconductivity with a full gap in locally non-centrosymmetric SrPtAs

Cited by in corpus (4)

• Possibility of chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Enhanced chiral edge currents and orbital magnetic moment in chiral $d$-wave superconductors from mesoscopic finite-size effects
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors