Proof that Momentum Mixing Hatsugai Kohmoto equals the Twisted Hubbard Model
Yuting Bai, Philip W. Phillips
TL;DR
This paper demonstrates that the momentum-mixing Hatsugai-Kohmoto model is equivalent to the twisted Hubbard model, establishing their identical bulk physics in the charge sector through formal proof.
Contribution
It provides a formal proof that the MMHK model is equivalent to the twisted Hubbard model, linking their physical properties.
Findings
MMHK equals the twisted Hubbard model in the charge sector
Models differing by a twist share the same bulk physics
Formal proof connects Hatsugai-Kohmoto and Hubbard models
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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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Cold Atom Physics and Bose-Einstein Condensates · Organic and Molecular Conductors Research