Flat-band ferromagnetism as a Pauli-correlated percolation problem.
Flat-band ferromagnetism as a Pauli-correlated percolation problem.
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DOI：
10.1103/physrevlett.109.096404
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发表时间：
2012-04
影响因子：
8.6
通讯作者：
M. Maksymenko;A. Honecker;R. Moessner;Johannes Richter;O. Derzhko
中科院分区：
文献类型：
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作者：
M. Maksymenko;A. Honecker;R. Moessner;Johannes Richter;O. Derzhko
我们调查的位置和性质的相互作用的电子的para-ferro过渡的色散带使用的例子哈伯德模型的Tasaki晶格。这种情况下，可以分析为一个几何网站渗流问题，不同的配置出现非平凡的权重。我们提供了一个完整的精确解的一维情况下，并开发了一个数值算法的二维情况下。在两个维度的顺磁相持续超出不相关的渗流点，和巨正则过渡是通过一个一阶跳到一个不饱和的铁磁相。
We investigate the location and nature of the para-ferro transition of interacting electrons in dispersionless bands using the example of the Hubbard model on the Tasaki lattice. This case can be analyzed as a geometric site-percolation problem where different configurations appear with nontrivial weights. We provide a complete exact solution for the one-dimensional case and develop a numerical algorithm for the two-dimensional case. In two dimensions the paramagnetic phase persists beyond the uncorrelated percolation point, and the grand-canonical transition is via a first-order jump to an unsaturated ferromagnetic phase.