Subspace-Protected Topological Phases and Bulk-Boundary Correspondence
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916948604878848 |
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| author | Shimomura, Kenji Takami, Ryo Nakamura, Daichi Sato, Masatoshi |
| author_facet | Shimomura, Kenji Takami, Ryo Nakamura, Daichi Sato, Masatoshi |
| contents | While tremendous research has revealed that symmetry enriches topological phases of matter, more general principles that protect topological phases have yet to be explored. In this Letter, we elucidate the roles of subspaces in free-fermionic topological phases. A subspace property for Hamiltonians enables us to define new topological invariants. It results in peculiar topological boundary phenomena, i.e., the emergence of an unpaired zero mode or zero-winding skin modes, characterizing subspace-protected topological phases. We establish and demonstrate the bulk-boundary correspondence in subspace-protected topological phases. We further discuss the interplay of the subspace property and internal symmetries. Toward application, we also propose possible platforms possessing the subspace property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20908 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Subspace-Protected Topological Phases and Bulk-Boundary Correspondence Shimomura, Kenji Takami, Ryo Nakamura, Daichi Sato, Masatoshi Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics While tremendous research has revealed that symmetry enriches topological phases of matter, more general principles that protect topological phases have yet to be explored. In this Letter, we elucidate the roles of subspaces in free-fermionic topological phases. A subspace property for Hamiltonians enables us to define new topological invariants. It results in peculiar topological boundary phenomena, i.e., the emergence of an unpaired zero mode or zero-winding skin modes, characterizing subspace-protected topological phases. We establish and demonstrate the bulk-boundary correspondence in subspace-protected topological phases. We further discuss the interplay of the subspace property and internal symmetries. Toward application, we also propose possible platforms possessing the subspace property. |
| title | Subspace-Protected Topological Phases and Bulk-Boundary Correspondence |
| topic | Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2508.20908 |