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.

arXiv comment7 pages, 9 figures, the final version has been accepted for publication in Phys. Rev. B

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• Magnetic exchange fields and domain wall superconductivity at an all-oxide superconductor / ferromagnet insulator interface
• Possibility of chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Superconductivity in BaPtSb with an Ordered Honeycomb Network
• 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
• Phenomenology of the chiral $d$-wave state in the hexagonal pnictide superconductor SrPtAs
• Designing edge currents using mesoscopic patterning in chiral d-wave superconductors