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 w...

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Bibliographic Details
Published in:Physical review letters 2012-08, Vol.109 (9), p.096404-096404, Article 096404
Main Authors: Maksymenko, M, Honecker, A, Moessner, R, Richter, J, Derzhko, O
Format: Article
Language:English
Subjects:
Condensed Matter
Physics
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.109.096404