# Finite compressibility in the low-doping region of the two-dimensional t-J model

@article{Lugas2006FiniteCI,
title={Finite compressibility in the low-doping region of the two-dimensional t-J model},
author={Massimo Lugas and Leonardo Spanu and Federico Becca and Sandro Sorella},
journal={Physical Review B},
year={2006},
volume={74},
pages={165122}
}
• Published 26 June 2006
• Physics
• Physical Review B
We reexamine the important issue of charge fluctuations in the two-dimensional $t\text{\ensuremath{-}}J$ model by using an improved variational method based on a wave function that contains both antiferromagnetic and $d$-wave superconducting order parameters. In particular, we generalize the wave function introduced some time ago by Bouchaud, Georges, and Lhuillier [J. Phys. (Paris) 49, 553 (1988)] by considering also a long-range spin-spin Jastrow factor, in order to correctly reproduce the…
17 Citations
Magnetism and superconductivity in the t − t ′ − J model
• Physics
• 2007
We present a systematic study of the phase diagram of the $t{-}t^\prime{-}J$ model by using the Green's function Monte Carlo (GFMC) technique, implemented within the fixed-node (FN) approximation and
Superconductivity in the two-dimensional Hubbard model: Gutzwiller wave function solution
• Physics
• 2013
A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) is formulated and used for the description of superconducting (SC) ground state in the two-dimensional Hubbard model with
Ising t-J model close to half filling: a Monte Carlo study.
• Physics
Journal of physics. Condensed matter : an Institute of Physics journal
• 2009
Within the recently proposed doped-carrier representation of the projected lattice electron operators we derive a full Ising version of the t-J model. This model possesses the global discrete Z(2)
Crossover between BCS Superconductor and Doped Mott Insulator of d-wave Pairing State in Two-Dimensional Hubbard Model
• Physics
• 2012
With high-Tc cuprates in mind, properties of correlated dx2-y2-wave superconducting (SC) and antiferromagnetic (AF) states are studied for the Hubbard (t-t'-U) model on square lattices, using a
Interhole correlation and phase separation in t-J model
• Physics
Journal of Physics: Conference Series
• 2018
Interhole and interelectron correlations as well as a transition to phase separation in the t-J model near half filling are reconsidered using a variational Monte Carlo method. As a trial wave
Strong coupling expansion of the extended Hubbard model with spin-orbit coupling
• Physics
• 2014
We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman
Period 4 stripe in the extended two-dimensional Hubbard model
• Physics
Physical Review B
• 2019
We study the competition between stripe states with different periods and a uniform d-wave superconducting state in the extended two-dimensional Hubbard model at 1/8 hole doping using infinite
Gutzwiller–RVB theory of high-temperature superconductivity: Results from renormalized mean-field theory and variational Monte Carlo calculations
• Physics
• 2007
We review the resonating valence bond (RVB) theory of high-temperature superconductivity using Gutzwiller projected wave functions that incorporate strong correlations. After a general overview of

## References

SHOWING 1-10 OF 46 REFERENCES
CHARGE FLUCTUATIONS CLOSE TO PHASE SEPARATION IN THE TWO-DIMENSIONAL T-J MODEL
• Physics
• 1998
We have studied the t-J model using the Green Function Monte Carlo technique. We have obtained accurate energies well converged in the thermodynamic limit, by performing simulations up to 242 lattice
Bond-order-modulated staggered-flux phase of the tJ model on a square lattice
• Physics
• 2006
Motivated by the observation of inhomogeneous patterns in some high-${T}_{c}$ cuprate compounds, several variational Gutzwiller-projected wave functions with built-in charge and bond-order parameters
Magnetism and superconductivity of strongly correlated electrons on the triangular lattice
• Physics
• 2006
We investigate the phase diagram of the t-J model on a triangular lattice using a variational Monte Carlo approach. We use an extended set of Gutzwiller projected fermionic trial wave functions
Ground-state correlations of quantum antiferromagnets: A Green-function Monte Carlo study.
• Physics
Physical review. B, Condensed matter
• 1990
A well-known transformation is used to map the spin problem onto a system of hard-core bosons that allows us to exploit interesting analogies between magnetism and superfluidity.
Green’s-function Monte Carlo for lattice fermions: Application to the t − J model
• Physics
• 2000
We develop a general numerical method to study the zero temperature properties of strongly correlated electron models on large lattices. The technique, which resembles Green’s Function Monte Carlo,
d -wave pairing in lightly doped Mott insulators
• Physics
• 2005
We define a suitable quantity $Z_c$ that measures the pairing strength of two electrons added to the ground state wave function by means of the anomalous part of the one-particle Green's function.
How to detect fluctuating stripes in the high-temperature superconductors
• Physics
• 2003
We discuss fluctuating order in a quantum disordered phase proximate to a quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies for extracting information
Phases of the t-J model from variational Monte Carlo studies: Occurrence of time-reversal symmetry breaking.
• Chen
• Physics
Physical review. B, Condensed matter
• 1990
A phase diagram is found in the density-{ital t}/{ital J} plane which has coexistence of antiferromagnetism and superconductivity at very low hole concentrations and super conductivity up to rather high values of density---about 40%.
Phase diagram of the two-dimensional t-J model at low doping.
• Poilblanc
• Physics
Physical review. B, Condensed matter
• 1995
The phase diagram of the planar t--J model at small hole doping is investigated by finite size scaling of exact diagonalisation data of NXN clusters (up to 26). Hole-droplet binding energies,
Projected wave functions and high temperature superconductivity.
• Physics
Physical review letters
• 2001
The Hubbard model with parameters relevant to cuprates is studied using variational Monte Carlo for projected d-wave states to obtain a superconductor whose order parameter Phi(x) tracks the observed nonmonotonic T(c)(x) and the variational parameter Delta(var) scales with the (pi,0) "hump" and T* seen in photoemission.