Proof that Momentum Mixing Hatsugai Kohmoto equals the Twisted Hubbard Model
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909941418164224 |
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| author | Bai, Yuting Phillips, Philip W. |
| author_facet | Bai, Yuting Phillips, Philip W. |
| contents | We prove formally that the momentum-mixing Hatsugai-Kohmoto model (MMHK) is the Hubbard model with a twist. With this result in tow, we rely on the proof of Watanabe's that two models which differ by a twist must have the same bulk physics. Consequently, we have proven that MMHK=Hubbard in the charge sector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof that Momentum Mixing Hatsugai Kohmoto equals the Twisted Hubbard Model Bai, Yuting Phillips, Philip W. Strongly Correlated Electrons Mathematical Physics We prove formally that the momentum-mixing Hatsugai-Kohmoto model (MMHK) is the Hubbard model with a twist. With this result in tow, we rely on the proof of Watanabe's that two models which differ by a twist must have the same bulk physics. Consequently, we have proven that MMHK=Hubbard in the charge sector. |
| title | Proof that Momentum Mixing Hatsugai Kohmoto equals the Twisted Hubbard Model |
| topic | Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2512.03148 |