TY - JOUR

T1 - Systematic improvement of wavefunctions in the variational Monte Carlo method for the t-J model

AU - Kohno, Masanori

AU - Imada, Masatoshi

N1 - Funding Information:
The authors would like to thank T. Kashima for useful discussions. This work is supported by ‘Research for the Future’ program from the Japan Society for the Promotion of Science under the grant number JSPS-RFTF97P01103.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2002

Y1 - 2002

N2 - We present an algorithm to systematically improve wavefunctions in the variational Monte Carlo method for the t-J model. The ground-state wavefunction is approximated by a linear combination of single-particle states with Gutzwiller projection. The single-particle states are successively generated according to the numerical path-integral renormalization group (PIRG) procedure. In the initial step, the present method reduces to the usual variational Monte Carlo method. As the number of single-particle states increases, the wavefunction converges to the ground-state wavefunction. Applying this method to the two-dimensional t-J model, we have confirmed that the wavefunction, which is composed of a small number of single-particle states, gives a good estimate of the ground-state energy. This algorithm does not suffer from the negative sign problem and can be applied to the models with strong correlations.

AB - We present an algorithm to systematically improve wavefunctions in the variational Monte Carlo method for the t-J model. The ground-state wavefunction is approximated by a linear combination of single-particle states with Gutzwiller projection. The single-particle states are successively generated according to the numerical path-integral renormalization group (PIRG) procedure. In the initial step, the present method reduces to the usual variational Monte Carlo method. As the number of single-particle states increases, the wavefunction converges to the ground-state wavefunction. Applying this method to the two-dimensional t-J model, we have confirmed that the wavefunction, which is composed of a small number of single-particle states, gives a good estimate of the ground-state energy. This algorithm does not suffer from the negative sign problem and can be applied to the models with strong correlations.

KW - A. Superconductors

KW - C. Ab initio calculations

KW - D. Superconductivity

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U2 - 10.1016/S0022-3697(02)00047-1

DO - 10.1016/S0022-3697(02)00047-1

M3 - Article

AN - SCOPUS:0036601717

SN - 0022-3697

VL - 63

SP - 1563

EP - 1566

JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

IS - 6-8

ER -