Quasiparticles near domain walls in hexagonal superconductors

Abstract

We calculate the energy spectrum of quasiparticles trapped by a domain wall separating different time reversal symmetry-breaking ground states in a hexagonal superconductor, such as UPt${}_3$. The bound state energy is found to be strongly dependent on the gap symmetry, the domain wall orientation, the quasiparticle's direction of semiclassical propagation, and the phase difference between the domains. We calculate the corresponding density of states and show how one can use its prominent features, in particular, the zero-energy singularity, to distinguish between different pairing symmetries.

16 pages, 8 figures

References in corpus (5)

• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Evidence for broken time-reversal symmetry in the superconducting phase of URu${}_2$Si${}_2$
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Andreev-Majorana bound states in superfluids
• Domain walls in superconductors: Andreev bound states and tunneling features

Cited by in corpus (2)

• Domain walls in a chiral d-wave superconductor on the honeycomb lattice
• Fermionic boundary modes in two-dimensional noncentrosymmetric superconductors