Pseudo topological insulators

TL;DR

This paper introduces the concept of pseudo topological insulators, predicting their existence and conditions for robust edge states, demonstrated through an extended SSH model, and highlights phase transitions without band gap closing.

Contribution

It proposes the novel concept of pseudo topological insulators and identifies conditions for their edge states, expanding the understanding of topological phases.

Findings

Pseudo topological insulators can host robust edge states.

Phase transitions occur without band gap closing.

Extended SSH model illustrates the concept.

Abstract

We predict pseudo topological insulators that have been previously overlooked. We determine some conditions under which robust pseudo topological edge states appear and illustrate our idea on the Su-Schrieffer-Heeger (SSH) model with extra chiral symmetry breaking potentials. We discuss that pseudo topological insulating phase transition occurs without band gap closing.