Comment on 'Absence of a Slater Transition in the Two-Dimensional Hubbard Model'
| Titre | Comment on 'Absence of a Slater Transition in the Two-Dimensional Hubbard Model' |
| Type de publication | Journal Article |
| Nouvelles publications | 2003 |
| Auteurs | Kyung B, Landry JS, Poulin D, Tremblay A-MS |
| Journal | Phys. Rev. Lett |
| Volume | 90 |
| Pagination | 099702 |
| Mots clés | Condensed 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 |
