From Luttinger liquid to Mott insulator: The correct low-energy description of the one-dimensional Hubbard model by an unbiased variational approach

Manuela Capello, Federico Becca, Seiji Yunoki, Michele Fabrizio, and Sandro Sorella
Phys. Rev. B 72, 085121 – Published 16 August 2005

Abstract

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 tJ 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.

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  • Received 30 May 2005

DOI:https://doi.org/10.1103/PhysRevB.72.085121

©2005 American Physical Society

Authors & Affiliations

Manuela Capello1, Federico Becca1, Seiji Yunoki1, Michele Fabrizio1,2, and Sandro Sorella1

  • 1INFM-Democritos, National Simulation Center and International School for Advanced Studies (SISSA), I-34014 Trieste, Italy
  • 2The Abdus Salam International Center for Theoretical Physics (ICTP), P.O. Box 586, I-34014 Trieste, Italy

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Issue

Vol. 72, Iss. 8 — 15 August 2005

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