Proof that Momentum Mixing Hatsugai Kohmoto equals the Twisted Hubbard Model

Published 2 Dec 2025 in cond-mat.str-el and math-ph | (2512.03148v1)

Abstract: 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.

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