Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
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 ins...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-10-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.4.048 |
| Summary: | 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. |
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| ISSN: | 2666-9366 |