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 |
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SciPost
2022-10-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.4.048 |
| _version_ | 1811194733902430208 |
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| author | Devendra Singh Bhakuni, Amrita Ghosh, Eytan Grosfeld |
| author_facet | Devendra Singh Bhakuni, Amrita Ghosh, Eytan Grosfeld |
| author_sort | Devendra Singh Bhakuni, Amrita Ghosh, Eytan Grosfeld |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T00:31:32Z |
| format | Article |
| id | doaj.art-f5ee43d75c574d558eab724a0401905e |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-04-12T00:31:32Z |
| publishDate | 2022-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-f5ee43d75c574d558eab724a0401905e2022-12-22T03:55:20ZengSciPostSciPost Physics Core2666-93662022-10-015404810.21468/SciPostPhysCore.5.4.048Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulatorDevendra Singh Bhakuni, Amrita Ghosh, Eytan GrosfeldTopological 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.https://scipost.org/SciPostPhysCore.5.4.048 |
| spellingShingle | Devendra Singh Bhakuni, Amrita Ghosh, Eytan Grosfeld Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator SciPost Physics Core |
| title | Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator |
| title_full | Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator |
| title_fullStr | Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator |
| title_full_unstemmed | Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator |
| title_short | Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator |
| title_sort | interaction driven phase transition in one dimensional mirror symmetry protected topological insulator |
| url | https://scipost.org/SciPostPhysCore.5.4.048 |
| work_keys_str_mv | AT devendrasinghbhakuniamritaghosheytangrosfeld interactiondrivenphasetransitioninonedimensionalmirrorsymmetryprotectedtopologicalinsulator |