非对称哈伯德模型中的分凝
Segregation in the asymmetric Hubbard model
摘要：
我们研究了“非对称”哈伯德模型，其中电子的跳跃依赖于它们的自旋。对于强相互作用和充分非对称的跳跃，证明了基态表现出远离半填充的相分离。这扩展了Freericks和Lieb最近对Falicov-Kimball模型的结果。它是基于估计的总和最低特征值的离散拉普拉斯在任意域。
英文摘要：
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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