Abstract
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 thet−V model and an extended Falicov-Kimball model.
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Macris, N., Nachtergaele, B. On the flux phase conjecture at half-filling: An improved proof. J Stat Phys 85, 745–761 (1996). https://doi.org/10.1007/BF02199361
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DOI: https://doi.org/10.1007/BF02199361