Theory of interacting topological crystalline insulators
We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multivalley Dirac fermion surface states. We find that interactions reduce the integer classification of noninteracting TCIs...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/98077 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1811072886004252672 |
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| author | Isobe, Hiroki Fu, Liang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Isobe, Hiroki Fu, Liang |
| author_sort | Isobe, Hiroki |
| collection | MIT |
| description | We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multivalley Dirac fermion surface states. We find that interactions reduce the integer classification of noninteracting TCIs in three dimensions, indexed by the mirror Chern number, to a finite group Z[subscript 8]. In particular, we explicitly construct a microscopic interaction Hamiltonian to gap eight flavors of Dirac fermions on the TCI surface, while preserving the mirror symmetry. Our construction builds on interacting edge states of U(1) × Z[subscript 2] symmetry-protected topological phases of fermions in two dimensions, which we classify. Our work reveals a deep connection between three-dimensional topological phases protected by spatial symmetries and two-dimensional topological phases protected by internal symmetries. |
| first_indexed | 2024-09-23T09:19:22Z |
| format | Article |
| id | mit-1721.1/98077 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:19:22Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/980772022-09-30T14:12:47Z Theory of interacting topological crystalline insulators Isobe, Hiroki Fu, Liang Massachusetts Institute of Technology. Department of Physics Fu, Liang We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multivalley Dirac fermion surface states. We find that interactions reduce the integer classification of noninteracting TCIs in three dimensions, indexed by the mirror Chern number, to a finite group Z[subscript 8]. In particular, we explicitly construct a microscopic interaction Hamiltonian to gap eight flavors of Dirac fermions on the TCI surface, while preserving the mirror symmetry. Our construction builds on interacting edge states of U(1) × Z[subscript 2] symmetry-protected topological phases of fermions in two dimensions, which we classify. Our work reveals a deep connection between three-dimensional topological phases protected by spatial symmetries and two-dimensional topological phases protected by internal symmetries. David & Lucile Packard Foundation 2015-08-11T16:56:16Z 2015-08-11T16:56:16Z 2015-08 2015-06 2015-08-10T22:00:08Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/98077 Isobe, Hiroki, and Liang Fu. "Theory of interacting topological crystalline insulators." Phys. Rev. B 92, 081304 (August 2015). © 2015 American Physical Society https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevB.92.081304 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Isobe, Hiroki Fu, Liang Theory of interacting topological crystalline insulators |
| title | Theory of interacting topological crystalline insulators |
| title_full | Theory of interacting topological crystalline insulators |
| title_fullStr | Theory of interacting topological crystalline insulators |
| title_full_unstemmed | Theory of interacting topological crystalline insulators |
| title_short | Theory of interacting topological crystalline insulators |
| title_sort | theory of interacting topological crystalline insulators |
| url | http://hdl.handle.net/1721.1/98077 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT isobehiroki theoryofinteractingtopologicalcrystallineinsulators AT fuliang theoryofinteractingtopologicalcrystallineinsulators |