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

TL;DR

This paper investigates surface bound states and spontaneous currents in cyclic d-wave superconductors, revealing how surface orientation affects electronic states and identifying conditions for topological Fermi arcs.

Contribution

It provides a theoretical analysis of surface phenomena in cyclic d-wave superconductors using Eilenberger theory, highlighting the role of surface orientation and topological states.

Findings

Surface bound states depend on surface orientation.

Spontaneous current arises from broken time-reversal symmetry.

Topological Fermi arcs are identified under specific pairing conditions.

Abstract

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous current and the electronic states depend on the orientation of the surface relative to the symmetry of superconductivity. The condition for topological Fermi arcs of zero-energy surface bound states to appear is identified in the complex pairing function of the cyclic d-wave.