Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
Devendra Singh Bhakuni, Amrita Ghosh, Eytan Grosfeld
SciPost Phys. Core 5, 048 (2022) · published 10 October 2022
- doi: 10.21468/SciPostPhysCore.5.4.048
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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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Devendra Singh Bhakuni,
- 1 2 Amrita Ghosh,
- 1 Eytan Grosfeld
- 1 אוניברסיטת בן-גוריון בנגב / Ben-Gurion University of the Negev [BGU]
- 2 National Center for Theoretical Sciences [NCTS]