Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological phases, especially for interacting systems. In this paper, we systematically construct and classify all the point-group crystalline topological superco...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.15.031029 |
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| _version_ | 1849421345424670720 |
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| author | Jian-Hao Zhang Shang-Qiang Ning Yang Qi Zheng-Cheng Gu |
| author_facet | Jian-Hao Zhang Shang-Qiang Ning Yang Qi Zheng-Cheng Gu |
| author_sort | Jian-Hao Zhang |
| collection | DOAJ |
| description | The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological phases, especially for interacting systems. In this paper, we systematically construct and classify all the point-group crystalline topological superconductors and insulators in three-dimensional (3D) interacting fermion systems using the novel concept of a topological crystal. The corresponding higher-order topological surface theory can also be systematically studied via higher-order bulk-boundary correspondence. In particular, we discover several intrinsically interacting topological phases that cannot be realized in any free-fermion systems. Moreover, the crystalline equivalence principle for 3D interacting fermionic systems is also verified, with an additional subtle “twist” on the spin of fermions. |
| format | Article |
| id | doaj-art-a3ae992ff9ad4257b418dffc8f63e1a4 |
| institution | Kabale University |
| issn | 2160-3308 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-a3ae992ff9ad4257b418dffc8f63e1a42025-08-20T03:31:30ZengAmerican Physical SocietyPhysical Review X2160-33082025-07-0115303102910.1103/PhysRevX.15.031029Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion SystemsJian-Hao ZhangShang-Qiang NingYang QiZheng-Cheng GuThe natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological phases, especially for interacting systems. In this paper, we systematically construct and classify all the point-group crystalline topological superconductors and insulators in three-dimensional (3D) interacting fermion systems using the novel concept of a topological crystal. The corresponding higher-order topological surface theory can also be systematically studied via higher-order bulk-boundary correspondence. In particular, we discover several intrinsically interacting topological phases that cannot be realized in any free-fermion systems. Moreover, the crystalline equivalence principle for 3D interacting fermionic systems is also verified, with an additional subtle “twist” on the spin of fermions.http://doi.org/10.1103/PhysRevX.15.031029 |
| spellingShingle | Jian-Hao Zhang Shang-Qiang Ning Yang Qi Zheng-Cheng Gu Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems Physical Review X |
| title | Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems |
| title_full | Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems |
| title_fullStr | Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems |
| title_full_unstemmed | Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems |
| title_short | Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems |
| title_sort | construction and classification of crystalline topological superconductor and insulators in three dimensional interacting fermion systems |
| url | http://doi.org/10.1103/PhysRevX.15.031029 |
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