Segregation in the Asymmetric Hubbard Model |
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Authors: | Ueltschi Daniel |
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Affiliation: | 1. Department of Mathematics, University of Arizona, Tucson, Arizona, 85721
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Abstract: | 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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