Domain walls in superconductors: Andreev bound states and tunneling features

Abstract

Domain walls can be formed in superconductors with a discrete degeneracy of the ground state, for instance, due to the breaking of time reversal symmetry. We study all cases where the formation of domain walls is possible in a tetragonal superconductor with the point group $D_{4h}$. We discuss both triplet and mixed singlet order parameters. It is found that in all cases the domain walls support subgap Andreev bound states, whose energies strongly depend on the direction of semiclassical propagation. The bound state contribution to the density of quasiparticle states exhibits peculiar features, which can be observed in tunneling experiments.

arXiv comment10 pages 13 figures

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• Half-quantum vortices on c-axis domain walls in chiral p-wave superconductors
• Quasiparticles near domain walls in hexagonal superconductors
• Topological hybrid electron-hole Cooper pairing