We study variationally the possible occurrence of a Luttinger liquid in the normal state of the 2D t-J model. For this, we generalize to 2D a Luttinger-Jastrow-Gutzwiller-type wave function introduced by Hellberg and Mele for the 1D t-J model. We show that this wave function does show also in 2D the characteristic correlations of a Luttinger liquid and the gains in kinetic energy stabilize the Luttinger liquid state with respect to Fermi liquid states with short-range correlations only. In addition, we provide rigorous lower bounds to the transition to the fully phase separated state at larger ratios J/t.We study variationally the possible occurrence of a Luttinger liquid in the normal state of the 2D t-J model. For this, we generalize to 2D a Luttinger-Jastrow-Gutzwiller-type wave function introduced by Hellberg and Mele for the 1D t-J model. We show that this wave function does show also in 2D the characteristic correlations of a Luttinger liquid and the gains in kinetic energy stabilize the Luttinger liquid state with respect to Fermi liquid states with short-range correlations only. In addition, we provide rigorous lower bounds to the transition to the fully phase separated state at larger ratios J/t.

Physical Review LettersApr 13, 199267 citations

Violation of Luttinger's Theorem in the Two-Dimensional t - J Model

W. O. Putikka, Marco U. Luchini, Rajiv R. P. Singh

We have calculated the high temperature series for the momentum distribution function ${n}_{\mathbf{k}}$ of the 2D $t\ensuremath{-}J$ model to twelfth order in inverse temperature. By extrapolating the series to $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.2J$ we searched for a Fermi surface of the 2D $t\ensuremath{-}J$ model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's theorem, implying that the $t\ensuremath{-}J$ model does not have an adiabatic connection to a noninteracting model.We have calculated the high temperature series for the momentum distribution function ${n}_{\mathbf{k}}$ of the 2D $t\ensuremath{-}J$ model to twelfth order in inverse temperature. By extrapolating the series to $T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.2J$ we searched for a Fermi surface of the 2D $t\ensuremath{-}J$ model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's theorem, implying that the $t\ensuremath{-}J$ model does not have an adiabatic connection to a noninteracting model.

arXiv:cond-mat/9803140Physical Review LettersOct 5, 199858 citations

The Luttinger model

R. Heidenreich, Ruedi Seiler, D. A. Uhlenbrock

Journal of Statistical PhysicsJan 1, 198070 citations

We have calculated the high temperature series for the momentum distribution function

{n}_{\mathbf{k}}

of the 2D $t\ensuremath{-}J$ model to twelfth order in inverse temperature. By extrapolating the series to

T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.2J

we searched for a Fermi surface of the 2D $t\ensuremath{-}J$ model. We find that three criteria used for estimating the location of a Fermi surface violate Luttinger's theorem, implying that the $t\ensuremath{-}J$ model does not have an adiabatic connection to a noninteracting model.