Gaussian-basis Monte Carlo method for numerical study on ground states of itinerant and strongly correlated electron systems

Takeshi Aimi*, Masatoshi Imada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


We examine Gaussian-basis Monte Carlo (GBMC) method introduced by Corney and Drummond. This method is based on an expansion of the density-matrix operator ρ by means of the coherent Gaussian-type operator basis Λ and does not suffer from the minus sign problem. The original method, however, often fails in reproducing the true ground state and causes systematic errors of calculated physical quantities because the samples are often trapped in some metastable or symmetry broken states. To overcome this difficulty, we combine the quantum-number projection scheme proposed by Assaad, Werner, Corboz, Gull, and Troyer in conjunction with the importance sampling of the original GBMC method. This improvement allows us to carry out the importance sampling in the quantum-number-projected phase-space. Some comparisons with the previous quantum-number projection scheme indicate that, in our method, the convergence with the ground state is accelerated, which makes it possible to extend the applicability and widen the range of tractable parameters in the GBMC method. The present scheme offers an efficient practical way of computation for strongly correlated electron systems beyond the range of system sizes, interaction strengths and lattice structures tractable by other computational methods such as the quantum Monte Carlo method.

Original languageEnglish
Article number084709
Journaljournal of the physical society of japan
Issue number8
Publication statusPublished - 2007 Aug
Externally publishedYes


  • Hubbard model
  • Monte Carlo method
  • Quantum-number projection
  • Strongly correlated electron systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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