Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"
Abstract
In a recent paper, Phys. Rev. Lett. 87, 167010/1-4 (2001), Moukouri and Jarrell presented evidence that in the two-dimensional (d=2) Hubbard model at half-filling there is a metal-insulator transition (MIT) at finite temperature even in weak coupling. While we agree with the numerical results of that paper, we arrive at different conclusions: The apparent gap at finite-temperature can be understood, at weak-coupling, as a crossover phenomenon involving large (but not infinite) antiferromagnetic (AFM) correlation length. Phase-space effects on the self-energy in d=2 are crucial, as are the ratio between AFM correlation length and single-particle thermal de Broglie wavelength. In weak coupling, d=2, there is in general no finite-temperature MIT transition in the thermodynamic sense.
Keywords
Cite
@article{arxiv.cond-mat/0112273,
title = {Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"},
author = {B. Kyung and J. S. Landry and D. Poulin and A. -M. S. Tremblay},
journal= {arXiv preprint arXiv:cond-mat/0112273},
year = {2009}
}
Comments
Latex, 1 page, epsfig, 1 eps figures