Zero-energy edge states and their origin in particle-hole symmetric systems: symmetry and topology

TL;DR

This paper introduces a criterion based on topology and symmetry to identify zero-energy edge states in particle-hole symmetric systems, with applications to d-wave superconductors.

Contribution

It presents a novel criterion linking topology and symmetry to predict zero-energy edge states in particle-hole symmetric systems.

Findings

Criterion successfully predicts zero-energy edge states.

Application to d-wave superconductors demonstrates practical relevance.

Topology and symmetry are crucial for edge state existence.

Abstract

We propose a criterion to determine the existence of zero-energy edge states for a class of particle-hole symmetric systems. A loop is assigned for each system, and its topology and a symmetry play an essential role. Applications to d-wave superconductors are demonstrated.