Proof that the momentum-mixing Hatsugai-Kohmoto model equals the twisted Hubbard model
Phys. Rev. B 113, 195150 – Published 27 May, 2026
DOI: https://doi.org/10.1103/ry4h-kkvs
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.
