Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 116, Issue 1-4, Pages 681-697Publisher
SPRINGER
DOI: 10.1023/B:JOSS.0000037231.88815.04
Keywords
Hubbard model; Falicov-Kimball model; phase separation
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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.
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