Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"

Details Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model" Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"

2001-12-14

arxiv.org/abs/cond-mat/0112273v2

Phys. Rev. Lett. 90, 099702-1 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

Latex, 1 page, epsfig, 1 eps figures

Scientific paper

10.1103/PhysRevLett.90.099702

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.

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