### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 1563-1566 |

Number of pages | 4 |

Journal | Journal of Physics and Chemistry of Solids |

Volume | 63 |

Issue number | 6-8 |

DOIs | |

Publication status | Published - 2002 Jan 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- A. Superconductors
- C. Ab initio calculations
- D. Superconductivity

### ASJC Scopus subject areas

- Chemistry(all)
- Materials Science(all)
- Condensed Matter Physics

### Cite this

**Systematic improvement of wavefunctions in the variational Monte Carlo method for the t-J model.** / Kohno, Masanori; Imada, Masatoshi.

Research output: Contribution to journal › Article

*Journal of Physics and Chemistry of Solids*, vol. 63, no. 6-8, pp. 1563-1566. https://doi.org/10.1016/S0022-3697(02)00047-1

}

TY - JOUR

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

AU - Kohno, Masanori

AU - Imada, Masatoshi

PY - 2002/1/1

Y1 - 2002/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=0036601717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036601717&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:0036601717

VL - 63

SP - 1563

EP - 1566

JO - Journal of Physics and Chemistry of Solids

JF - Journal of Physics and Chemistry of Solids

SN - 0022-3697

IS - 6-8

ER -