Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-05-30
Physics
Condensed Matter
Strongly Correlated Electrons
7 pages, 9 figures
Scientific paper
10.1103/PhysRevB.72.085121
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. {\bf 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 correlation functions, 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.
Becca Federico
Capello Manuela
Fabrizio Michele
Sorella Sandro
Yunoki Seiji
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