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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, projects the ground state component from a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Stephen Hellberg , Efstratios Manousakis

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 sites. By studying the energy as a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Calandra , F. Becca , S. Sorella

The power-Lanczos (PL) method is one kind of Green's function Monte-Carlo simulation, which is improved by Lanczos iterations. The ground state energies of strongly-correlated models can be evaluated by this method quite accurately. In this…

Strongly Correlated Electrons · Physics 2009-11-07 C. T. Shih , Y. C. Chen , T. K. Lee

Fixed-node Green's function Monte Carlo calculations have been performed for very large 16x6 2D Hubbard lattices, large interaction strengths U=10,20, and 40, and many (15-20) densities between empty and half filling. The nodes were fixed…

Strongly Correlated Electrons · Physics 2009-10-31 A. C. Cosentini , M. Capone , L. Guidoni , G. B. Bachelet

Using Gutzwiller-projected wave functions, I estimate the ground-state energy of the t-J model for several variational states relevant for high-temperature cuprate superconductors. The results indicate antiferromagnetism and phase…

Superconductivity · Physics 2009-11-10 D. A. Ivanov

We make a critical analysis of numerical results for and against phase separation and stripe formation in the t-J model. We argue that the frustrated phase separation mechanism for stripe formation requires phase separation at too high a…

Strongly Correlated Electrons · Physics 2009-10-31 Steven R. White , D. J. Scalapino

We investigate the phase diagram of the two dimensional {\it t}-{\it J} model using a recently developed technique that allows to solve the mean-field model hamiltonian with a variational calculation. The accuracy of our estimate is…

Condensed Matter · Physics 2009-10-22 Antimo Angelucci , Sandro Sorella

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 a wave function that contains both…

Strongly Correlated Electrons · Physics 2009-11-13 Leonardo Spanu , Massimo Lugas , Federico Becca , Sandro Sorella

Two-dimensional t-J model is studied by a variational Monte Carlo method, using Gutzwiller-Jastrow-type wave functions. Various kinds of superconducting pairing symmetries are compared in order to determine the phase diagram of the ground…

Condensed Matter · Physics 2009-10-28 Hisatoshi Yokoyama , Masao Ogata

The boundary of phase separation of the two-dimensional t-J model is investigated by the power-Lanczos method and Maxwell construction. The method is similar to a variational approach and it determines the lower bound of the phase…

Strongly Correlated Electrons · Physics 2009-10-30 C. T. Shih , Y. C. Chen , T. K. Lee

We study the phase diagram of the double exchange model, with antiferromagnetic interactions, in a cubic lattice both at zero and at finite temperature. There is a rich variety of magnetic phases, combined with regions where phase…

Strongly Correlated Electrons · Physics 2009-11-07 J. L. Alonso , J. A. Capitan , L. A. Fernandez , F. Guinea , V. Martin-Mayor

The phase separation boundary of isotropic t-J ladders is analyzed using density matrix renormalization group techniques. The complete boundary to phase separation as a function of J/t and doping is determined for a chain and for ladders…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Rommer , Steven R. White , D. J. Scalapino

We investigate the phase diagram of phase separation for the hole-doped two dimensional system of antiferromagnetically correlated electrons based on the U(1) slave-boson functional integral approach to the t-J model. We show that the phase…

Superconductivity · Physics 2016-08-31 Tae-Hyoung Gimm , Sung-Ho Suck Salk

We study the ground state of the one-dimensional "$t$-$J_s$-$J_{\tau}$ model," which is a variant of the $t$-$J$ model with additional channel degree of freedom. The model is not only a generalization of the $t$-$J$ model but also an…

Strongly Correlated Electrons · Physics 2021-04-16 Yuya Kurebayashi , Hiroki Oshiyama , Naokazu Shibata

We discuss the main aspects of the fixed-node quantum Monte Carlo method for lattice fermions and its recent application to the problem of phase separation in the 2D Hubbard model, along with virtues, limitations and perspectives of this…

Strongly Correlated Electrons · Physics 2007-05-23 Giovanni B. Bachelet , Andrea C. Cosentini

The ground-state phase diagram of the two-dimensional t-J model is investigated in the context of the tensor network algorithm in terms of the graded Projected Entangled-Pair State representation of the ground-state wave functions. There is…

Superconductivity · Physics 2010-01-20 Sheng-Hao Li , Qian-Qian Shi , Huan-Qiang Zhou

We investigate the stability with respect to phase separation or charge density-wave formation of the two-dimensional Hubbard model for various values of the local Coulomb repulsion and electron densities using Green-function Monte Carlo…

Strongly Correlated Electrons · Physics 2009-10-31 F. Becca , M. Capone , S. Sorella

The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method…

Condensed Matter · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a…

Statistical Mechanics · Physics 2009-02-17 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

From calculations of the high temperature series for the free energy of the two-dimensional t-J model we construct series for ratios of the free energy per hole. The ratios can be extrapolated very accurately to low temperatures and used to…

Strongly Correlated Electrons · Physics 2009-10-31 W. O. Putikka , M. U. Luchini
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