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

TitreComment on 'Absence of a Slater Transition in the Two-Dimensional Hubbard Model'
Type de publicationJournal Article
Nouvelles publications2003
AuteursKyung, B, Landry, JS, Poulin, D, Tremblay, A-MS
JournalPhys. Rev. Lett
Volume90
Pagination099702
Mots clésCondensed matter, Many-Body, Simulation
Résumé

{In a recent paper, Physical Review Letters 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

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