Many-body Fu-Kane-Mele index
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913576747270144 |
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| author | Bachmann, Sven Bols, Alex Rahnama, Mahsa |
| author_facet | Bachmann, Sven Bols, Alex Rahnama, Mahsa |
| contents | We define a $\mathbb{Z}_2$-valued index for stably short-range entangled states of two-dimensional fermionic lattice systems with charge conservation and time reversal symmetry. The index takes its non-trivial value precisely if the `fluxon', the state obtained by inserting a $π$-flux through the system, transforms under time reversal as part of a Kramers pair. This index extends the Fu-Kane-Mele index of free fermionic topological insulators to interacting systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Many-body Fu-Kane-Mele index Bachmann, Sven Bols, Alex Rahnama, Mahsa Mathematical Physics Quantum Physics We define a $\mathbb{Z}_2$-valued index for stably short-range entangled states of two-dimensional fermionic lattice systems with charge conservation and time reversal symmetry. The index takes its non-trivial value precisely if the `fluxon', the state obtained by inserting a $π$-flux through the system, transforms under time reversal as part of a Kramers pair. This index extends the Fu-Kane-Mele index of free fermionic topological insulators to interacting systems. |
| title | Many-body Fu-Kane-Mele index |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2406.19463 |