Fermions in two dimensions, bosonization, and exactly solvable models
Mathematical Physics
2013-08-26 v1 Strongly Correlated Electrons
math.MP
Abstract
We discuss interacting fermion models in two dimensions, and, in particular, such that can be solved exactly by bosonization. One solvable model of this kind was proposed by Mattis as an effective description of fermions on a square lattice. We review recent work on a specific relation between a variant of Mattis' model and such a lattice fermion system, as well as the exact solution of this model. The background for this work includes well-established results for one-dimensional systems and the high-Tc problem. We also mention exactly solvable extensions of Mattis' model.
Cite
@article{arxiv.1207.6783,
title = {Fermions in two dimensions, bosonization, and exactly solvable models},
author = {Jonas de Woul and Edwin Langmann},
journal= {arXiv preprint arXiv:1207.6783},
year = {2013}
}
Comments
21 pages, 2 figures, invited review