Numerical Study for the Ground State of Multi-Orbital Hubbard Models

Yukitoshi Motome*, Masatoshi Imada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Ground state properties of multi-orbital Hubbard models are investigated by the auxiliary field quantum Monte Carlo method. A Monte Carlo technique generalized to the multi-orbital systems is introduced and examined in detail. The algorithm contains non-trivial cases where the negative sign problem does not exist. We investigate one-dimensional systems with doubly degenerate orbitals by this new technique. Properties of the Mott insulating state are quantitatively clarified as the strongly correlated insulator, where the charge gap amplitude is much larger than the spin gap. The insulator-metal transitions driven by the chemical potential shows a universality class with the correlation length exponent ν = 1/2, which is consistent with the scaling arguments. Increasing level split between two orbitals drives crossover from the Mott insulator with high spin state to the band insulator with low spin state, where the spin gap amplitude increases and becomes closer to the charge gap. Experimental relevance of our results especially to Haldane materials is discussed.

Original languageEnglish
Pages (from-to)3199-3215
Number of pages17
Journaljournal of the physical society of japan
Issue number9
Publication statusPublished - 1998 Sept
Externally publishedYes


  • Auxiliary field quantum Monte Carlo method
  • Band insulator
  • Filling control
  • Haldane systems
  • High spin
  • Level split
  • Low spin
  • Metal-insulator transition
  • Mott insulator
  • Multi-orbital Hubbard model
  • Orbital degrees of freedom
  • Scaling theory
  • Spin gap

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Numerical Study for the Ground State of Multi-Orbital Hubbard Models'. Together they form a unique fingerprint.

Cite this