Exact results for strongly-correlated fermions in 2+1 dimensions
Strongly Correlated Electrons
2009-11-11 v2 Statistical Mechanics
High Energy Physics - Theory
Abstract
We derive exact results for a model of strongly-interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we show how the ground states can be frustrated, quantum critical, or combine frustration with a Wigner crystal. We show that on generic lattices, the model is in an exotic ``super-frustrated'' state characterized by an extensive ground-state entropy.
Keywords
Cite
@article{arxiv.cond-mat/0504595,
title = {Exact results for strongly-correlated fermions in 2+1 dimensions},
author = {Paul Fendley and Kareljan Schoutens},
journal= {arXiv preprint arXiv:cond-mat/0504595},
year = {2009}
}
Comments
4 pages, 2 figures. v2: added discussion of "super-frustrated" state; to appear in PRL