On the flux phase conjecture at half-filling: an improved proof
Condensed Matter
2009-10-28 v1
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 model and an extended Falicov-Kimball model.
Keywords
Cite
@article{arxiv.cond-mat/9604043,
title = {On the flux phase conjecture at half-filling: an improved proof},
author = {Nicolas Macris and Bruno Nachtergaele},
journal= {arXiv preprint arXiv:cond-mat/9604043},
year = {2009}
}
Comments
23 pages, Latex, uses epsf.sty to include 3 eps figures, to appear in J. Stat. Phys., Dec. 1996