On the flux phase conjecture at half-filling: an improved proof

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.

23 pages, Latex, uses epsf.sty to include 3 eps figures, to appear in J. Stat. Phys., Dec. 1996

References in corpus (3)

• The Flux-Phase of the Half-Filled Band
• The Stability of the Peierls Instability for Ring-Shaped Molecules
• Uniform Density Theorem for the Hubbard Model

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