Segregation in the asymmetric Hubbard model

Details Segregation in the asymmetric Hubbard model Segregation in the asymmetric Hubbard model

2003-11-26

arxiv.org/abs/math-ph/0311049v2

J. Statist. Phys. 116, 681-697 (2004)

Physics

Mathematical Physics

12 pages

Scientific paper

10.1023/B:JOSS.0000037231.88815.

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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