Flat-Band Ferromagnetism as a Pauli-Correlated Percolation Problem
Statistical Mechanics
2012-09-17 v2 Strongly Correlated Electrons
Abstract
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.
Keywords
Cite
@article{arxiv.1204.2110,
title = {Flat-Band Ferromagnetism as a Pauli-Correlated Percolation Problem},
author = {M. Maksymenko and A. Honecker and R. Moessner and J. Richter and O. Derzhko},
journal= {arXiv preprint arXiv:1204.2110},
year = {2012}
}
Comments
6 pages, 5 figures