2003/11/30 by Daniel Ueltschi · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #cond-mat.str-el #math.MP #msc:82B10 #msc:82B20 #msc:82B26
paper · pdf · doi:10.1023/b:joss.0000037231.88815.04
published as J. Statist. Phys. 116, 681-697 (2004) · 12 pages
arxiv created 2004/01/07 · arxiv updated 2009/12/01
We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the ground state displays phase separation away from half-filling. This extends a recent result obtained with Freericks and Lieb for the Falicov-Kimball model. It is based on estimates for the sum of lowest eigenvalues of the discrete Laplacian in arbitrary domains.