96-120 Nicolas Macris (EPF Lausanne), Bruno Nachtergaele (Princeton U)

On the flux phase conjecture at half-filling: an improved proof (54K, Latex + epsf.sty, 3 eps figures.) Apr 8, 96

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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 the $t-V$ model and an extended Falicov-Kimball model.

Files: 96-120.tex