Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
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.
Cite
@article{arxiv.2202.07436,
title = {Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator},
author = {Devendra Singh Bhakuni and Amrita Ghosh and Eytan Grosfeld},
journal= {arXiv preprint arXiv:2202.07436},
year = {2023}
}