Topological Fermi arcs in superfluid ${}^3$He

Abstract

We consider fermionic states bound on domain walls in a Weyl superfluid ${}^3$He-A and on interfaces between ${}^3$He-A and a fully gapped topological superfluid ${}^3$He-B. We demonstrate that in both cases fermionic spectrum contains Fermi arcs which are continuous nodal lines of energy spectrum terminating at the projections of two Weyl points to the plane of surface states in momentum space. The number of Fermi arcs is determined by the index theorem which relates bulk values of topological invariant to the number of zero energy surface states. The index theorem is consistent with an exact spectrum of Bogolubov- de Gennes equation obtained numerically meanwhile the quasiclassical approximation fails to reproduce the correct number of zero modes. Thus we demonstrate that topology describes the properties of exact spectrum beyond quasiclassical approximation.

9 pages, 6 figures

References in corpus (4)

• Classification of topological insulators and superconductors in three spatial dimensions
• Friedel oscillations due to Fermi arcs in Weyl semimetals
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points
• Majorana surface states of superfluid 3He A- and B-phases in a slab

Cited by in corpus (1)

• Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors