Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators
We study the effect of the long-range Coulomb interaction in j=3/2 Dirac electrons in cubic crystals with the O[subscript h] symmetry, which serves as an effective model for antiperovskite topological crystalline insulators. The renormalization group analysis reveals three fixed points that are Lore...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110545 https://orcid.org/0000-0002-4856-4177 https://orcid.org/0000-0002-8803-1017 |
| _version_ | 1811078211979706368 |
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| author | Isobe, Hiroki Fu, Liang |
| author2 | Massachusetts Institute of Technology. Materials Processing Center |
| author_facet | Massachusetts Institute of Technology. Materials Processing Center Isobe, Hiroki Fu, Liang |
| author_sort | Isobe, Hiroki |
| collection | MIT |
| description | We study the effect of the long-range Coulomb interaction in j=3/2 Dirac electrons in cubic crystals with the O[subscript h] symmetry, which serves as an effective model for antiperovskite topological crystalline insulators. The renormalization group analysis reveals three fixed points that are Lorentz invariant, rotationally invariant, and O[subscript h] invariant. Among them, the Lorentz- and O[subscript h]-invariant fixed points are stable in the low-energy limit, while the rotationally invariant fixed point is unstable. The existence of a stable O[subscript h]-invariant fixed point of Dirac fermions with finite velocity anisotropy presents an interesting counterexample to emergent Lorentz invariance in solids. |
| first_indexed | 2024-09-23T10:55:52Z |
| format | Article |
| id | mit-1721.1/110545 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:55:52Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1105452022-09-27T15:58:47Z Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators Isobe, Hiroki Fu, Liang Massachusetts Institute of Technology. Materials Processing Center Massachusetts Institute of Technology. Department of Physics Isobe, Hiroki Fu, Liang We study the effect of the long-range Coulomb interaction in j=3/2 Dirac electrons in cubic crystals with the O[subscript h] symmetry, which serves as an effective model for antiperovskite topological crystalline insulators. The renormalization group analysis reveals three fixed points that are Lorentz invariant, rotationally invariant, and O[subscript h] invariant. Among them, the Lorentz- and O[subscript h]-invariant fixed points are stable in the low-energy limit, while the rotationally invariant fixed point is unstable. The existence of a stable O[subscript h]-invariant fixed point of Dirac fermions with finite velocity anisotropy presents an interesting counterexample to emergent Lorentz invariance in solids. National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (DMR-1419807) 2017-07-07T17:55:36Z 2017-07-07T17:55:36Z 2016-06 2016-04 2016-06-21T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/110545 Isobe, Hiroki, and Liang Fu. “Quantum Critical Points of J = 3/2 Dirac Electrons in Antiperovskite Topological Crystalline Insulators.” Physical Review B 93.24 (2016): n. pag. © 2016 American Physical Society https://orcid.org/0000-0002-4856-4177 https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevB.93.241113 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 Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title | Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title_full | Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title_fullStr | Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title_full_unstemmed | Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title_short | Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators |
| title_sort | quantum critical points of j 3 2 dirac electrons in antiperovskite topological crystalline insulators |
| url | http://hdl.handle.net/1721.1/110545 https://orcid.org/0000-0002-4856-4177 https://orcid.org/0000-0002-8803-1017 |
| work_keys_str_mv | AT isobehiroki quantumcriticalpointsofj32diracelectronsinantiperovskitetopologicalcrystallineinsulators AT fuliang quantumcriticalpointsofj32diracelectronsinantiperovskitetopologicalcrystallineinsulators |