We show that a particular class of variational wave functions reproduces the low-energy properties of the Hubbard model in one dimension. Our approach generalizes to finite on-site Coulomb repulsion the fully projected wave function proposed by Hellberg and Mele [Phys. Rev. Lett. 67, 2080 (1991)] for describing the Luttinger-liquid behavior of the doped t-J model. Within our approach, the long-range Jastrow factor emerges from a careful minimization of the energy, without assuming any parametric form for the long-distance tail. Specifically, in the conducting phase of the Hubbard model at finite hole doping, we obtain the correct power-law behavior of the correlations, with the exponents predicted by the Tomonaga-Luttinger theory. By decreasing the doping, the insulating phase is reached with a continuous change of the small-q part of the Jastrow factor.
|Titolo:||From Luttinger liquid to Mott insulator: The correct low-energy description of the one-dimensional Hubbard model by an unbiased variational approach|
|Autori:||Capello, M; Becca, Federico; Yunoki, S; Fabrizio, Michele; Sorella, Sandro|
|Data di pubblicazione:||2005|
|Numero di Articolo:||085121|
|Digital Object Identifier (DOI):||10.1103/PhysRevB.72.085121|
|Appare nelle tipologie:||1.1 Journal article|