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

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.


Published in:
Journal of Statistical Physics, 85, 745-761
Year:
1996
Laboratories:




 Record created 2007-02-16, last modified 2018-03-17

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