A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models

Yukitoshi Motome, Masatoshi Imada

Research output: Contribution to journalArticle

20 Citations (Scopus)


We present a framework of an auxiliary field quantum Monte Carlo (QMC) method for multi-orbital Hubbard models. Our formulation can be applied to a Hamiltonian which includes terms for on-site Coulomb interaction for both intra- and inter-orbitals, intra-site exchange interaction and energy differences between orbitals. Based on our framework, we point out possible ways to investigate various phase transitions such as metal-insulator, magnetic and orbital order-disorder transitions without the minus sign problem. As an application, a two-band model is investigated by the projection QMC method and the ground state properties of this model are presented.

Original languageEnglish
Pages (from-to)1872-1875
Number of pages4
JournalJournal of the Physical Society of Japan
Issue number7
Publication statusPublished - 1997 Jan 1
Externally publishedYes



  • Auxiliary field quantum Monte Carlo
  • Magnetic ordering
  • Metal-insulator transition
  • Minus sign problem
  • Multi-orbital Hubbard model
  • Orbital ordering

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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