On Fermi systems with strong forward scattering in d spatial dimensions
Strongly Correlated Electrons
2009-10-31 v1
Abstract
We consider a specific generalisation to spatial dimensions d greater than one of a formalism based upon conservation laws and the associated Ward identities, that exactly solves the one-dimensional Luttinger model, and expose its inadequacies for d > 1. We conclude that findings arrived at through application of this generalised formalism concerning systems of fermions with strong forward scattering, in particular that d=1 would be the cross-over dimension from Luttinger- to Fermi-liquid state, are open to question.
Cite
@article{arxiv.cond-mat/0004451,
title = {On Fermi systems with strong forward scattering in d spatial dimensions},
author = {Behnam Farid},
journal= {arXiv preprint arXiv:cond-mat/0004451},
year = {2009}
}
Comments
20 pages, 1 figure included