A two dimensional analogue of the Luttinger model
Abstract
We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling. In this derivation, we use certain approximations that we motivate by physical arguments. We also present mathematical results that allow an exact treatment of parts of the degrees of freedom of this model by bosonization, and we propose to treat the remaining degrees of freedom by mean field theory.
Keywords
Cite
@article{arxiv.math-ph/0606041,
title = {A two dimensional analogue of the Luttinger model},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0606041},
year = {2010}
}
Comments
v1: 9 pages, 1 figure v2: 10 pages, 1 figure; some change in notation and corrections; updated references v3: 15 pages; 1 figure; some clarifications; adapted to detailed follow-up papers arXiv:0903.0055 and arXiv:0907.1277