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We present a simplification of Lieb's proof of the flux phase conjecture for interacting fermion systems--such as the Hubbard model--at half-filling on a general class of graphs. The main ingredient is a procedure which transforms a class of fermionic Hamiltonians into reflection-positive form. The method can also be applied to other problems, which we briefly illustrate with two examples concerning the t-V model and an extended Falicov-Kimball model.
Viktor Kuncak, Simon Guilloud, Sankalp Gambhir
We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras while having po ...