Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator

TL;DR

This paper investigates how many-body interactions influence a one-dimensional mirror-symmetry protected topological insulator, revealing interaction-induced phase transitions and the robustness of topological phases using advanced numerical methods.

Contribution

It demonstrates the emergence and stability of mirror-symmetry protected topological phases under short-range interactions and identifies phase transitions induced by longer-range interactions.

Findings

Robust mirror-symmetry protected topological phase in 1D model

Interaction-induced transition to trivial charge density wave

Validation using density-matrix renormalization group and quantum Monte Carlo

Abstract

Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely the mirror-symmetry protected topological crystalline insulator. Employing a prototypical mirror-symmetric quasi-one-dimensional model, we demonstrate the emergence of a mirror-symmetry protected topological phase and its robustness in the presence of short-range interactions. When longer-range interactions are introduced, we find an interaction-induced topological phase transition between the mirror-symmetry protected topological order and a trivial charge density wave. The results are obtained using density-matrix renormalization group and quantum Monte-Carlo simulations in applicable limits.