Segregation in the asymmetric Hubbard model
Mathematical Physics
2007-05-23 v2 Statistical Mechanics
Strongly Correlated Electrons
math.MP
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.
Cite
@article{arxiv.math-ph/0311049,
title = {Segregation in the asymmetric Hubbard model},
author = {Daniel Ueltschi},
journal= {arXiv preprint arXiv:math-ph/0311049},
year = {2007}
}
Comments
12 pages