An index for invertible phases of two-dimensional quantum spin systems
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909333847015424 |
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| author | Sopenko, Nikita |
| author_facet | Sopenko, Nikita |
| contents | We define an index for invertible phases of two-dimensional fermionic and bosonic quantum spin systems without any additional symmetry. Conjecturally, it provides a microscopic definition of an invariant related to the chiral central charge of the boundary modes $c_- \bmod 24$ when the effective conformal field theory description is valid. Using this index, we prove that free fermionic systems with Chern number $ν\bmod 48 \neq 0$ are in a non-trivial invertible phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02059 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An index for invertible phases of two-dimensional quantum spin systems Sopenko, Nikita Mathematical Physics Strongly Correlated Electrons Quantum Physics We define an index for invertible phases of two-dimensional fermionic and bosonic quantum spin systems without any additional symmetry. Conjecturally, it provides a microscopic definition of an invariant related to the chiral central charge of the boundary modes $c_- \bmod 24$ when the effective conformal field theory description is valid. Using this index, we prove that free fermionic systems with Chern number $ν\bmod 48 \neq 0$ are in a non-trivial invertible phase. |
| title | An index for invertible phases of two-dimensional quantum spin systems |
| topic | Mathematical Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2410.02059 |