Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review Letters

Luttinger Liquid Instability of the 2D t−J Model: A Variational Study

Roser Valentí, Claudius Gros

Published Aug 10, 1992• 2 citations
Publisher

Abstract

In Eq. (3) a minus sign was missing in the exponent.It should read r
DOI
10.1103/physrevlett.69.996

Related papers

Luttinger-Liquid Behaviour in 2D: The Variational Approach

Roser Valentí, Claudius Gros

NATO ASI series. Series B : Physics•Jan 1, 1995•0 citations

Luttinger liquid instability of the 2Dt-Jmodel: A variational study

Roser Valentí, Claudius Gros

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 Letters•Apr 13, 1992•67 citations

Luttinger-liquid exponent in the vicinity of charge-density wave instabilities

Satoshi Ejima, Florian Gebhard, Satoshi Nishimoto

Journal of Magnetism and Magnetic Materials•Nov 3, 2006•5 citations

Instability of a quasi-1D Luttinger liquid

V. S. Babichenko, Andrey Nikolaevich Kozlov

ZhETF Pisma Redaktsiiu•May 1, 1995•0 citations

27a-X-11 Is there a renormalization of the 1D conductance in Luttinger liquid model

Vadim Ponomarenko

日本物理学会講演概要集. 秋の分科会•Sep 12, 1995•0 citations

LUTTINGER-LIQUID BEHAVIOUR IN 2D: THE VARIATIONAL APPROACH

Claudius Gros, Roser Valentí

We study a variational formulation of the Luttinger-liquid concept in two dimensions. We show that a Luttinger-liquid wavefunction with an algebraic singularity at the Fermiedge is given by a Jastrow-Gutzwiller type wavefunction, which we evaluate by variational Monte Carlo for lattices with up to 38 × 38 = 1444 sites. We therefore find that, from a variational point of view, the concept of a Luttinger liquid is well defined even in 2D. We also find that the Luttinger liquid state is energetically favoured by the projected kinetic energy in the context of the 2D t-J model. We study and find coexistence of d-wave superconductivity and Luttinger-liquid behaviour in two-dimensional projected wavefunctions. We then argue that generally, any two-dimensional d-wave superconductor should be unstable against Luttinger-liquid type correlations along the (quasi-1D) nodes of the d-wave order parameter, at temperatures small compared to the gap.

Modern Physics Letters B•Feb 10, 1993•9 citations
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 a variational formulation of the Luttinger-liquid concept in two dimensions. We show that a Luttinger-liquid wavefunction with an algebraic singularity at the Fermiedge is given by a Jastrow-Gutzwiller type wavefunction, which we evaluate by variational Monte Carlo for lattices with up to 38 × 38 = 1444 sites. We therefore find that, from a variational point of view, the concept of a Luttinger liquid is well defined even in 2D. We also find that the Luttinger liquid state is energetically favoured by the projected kinetic energy in the context of the 2D t-J model. We study and find coexistence of d-wave superconductivity and Luttinger-liquid behaviour in two-dimensional projected wavefunctions. We then argue that generally, any two-dimensional d-wave superconductor should be unstable against Luttinger-liquid type correlations along the (quasi-1D) nodes of the d-wave order parameter, at temperatures small compared to the gap.