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

Yukitoshi Motome, Masatoshi Imada

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Volume66
Issue number7
DOIs
Publication statusPublished - 1997 Jan 1
Externally publishedYes

Fingerprint

Monte Carlo method
orbitals
projection
insulators
interactions
disorders
formulations
ground state
metals
energy

Keywords

  • 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)

Cite this

A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models. / Motome, Yukitoshi; Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 66, No. 7, 01.01.1997, p. 1872-1875.

Research output: Contribution to journalArticle

Motome, Yukitoshi ; Imada, Masatoshi. / A Quantum Monte Carlo Method and Its Applications to Multi-Orbital Hubbard Models. In: Journal of the Physical Society of Japan. 1997 ; Vol. 66, No. 7. pp. 1872-1875.
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