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Flat-Band Ferromagnetism as a Pauli-Correlated Percolation Problem

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 1D case and develop a numerical algorithm for the 2D 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.

preprint2012arXivOpen access
M. MaksymenkoA. HoneckerR. MoessnerJ. RichterO. Derzhko
cond-mat.stat-mechcond-mat.str-el
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Open access5 authors2 topics
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M. MaksymenkoA. HoneckerR. MoessnerJ. RichterO. Derzhko

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