Metallic ferromagnetism in the Hubbard model: a rigorous example.
Metallic ferromagnetism in the Hubbard model: a rigorous example.
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DOI：
10.1103/physrevlett.98.116402
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发表时间：
2006-11
影响因子：
8.6
通讯作者：
A. Tanaka;H. Tasaki
中科院分区：
文献类型：
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作者：
A. Tanaka;H. Tasaki
我们提出了哈伯德模型在任何维度上表现出金属铁磁性的第一个严格例子。该模型是真正的哈伯德模型，具有短程跳跃和现场库仑斥力，并且具有许多单电子带。在带隙和库仑斥力变得无穷大的极限下，我们证明基态是完全铁磁的，同时又是导电的。
We present the first rigorous example of the Hubbard model in any dimension which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping and on-site Coulomb repulsion, and has many single-electron bands. In the limit where the band gap and the Coulomb repulsion become infinite, we prove that the ground states are completely ferromagnetic and at the same time conducting.