Variational Study on Loop Currents in Bose Hubbard model with Staggered Flux

Y. Toga, H. Yokoyama

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)


In view of strongly interacting bosons in an optical lattice with a large gauge field, we study phase transitions in a two-dimensional Bose-Hubbard model with a staggered flux, on the basis of variational Monte Carlo calculations. Inthe trial states,besides typical onsite and intersite correlation factors, we introduce a configuration-dependent phase factor,which was recently found essential for treating current-carrying states. It is found that this phase factor is qualitativelyvitalfordescribing a Mott insulating (MI) state in the present model. Thereby, the Peierls phasesattached in relevant hopping processes are cancelled out. As a result, local currents completely suppressed in MI states, namely, a chiral Mott state does not appear for the square lattice, in contrast tothecorresponding two-leg ladder model. In addition, we discuss other features of the first-order superfluid-MI transition in this model.

Original languageEnglish
Pages (from-to)29-32
Number of pages4
JournalPhysics Procedia
Publication statusPublished - 2015
Event27th International Symposium on Superconductivity, ISS 2014 - Tokyo, Japan
Duration: 2014 Nov 252014 Nov 27


  • Bose-Hubbard model
  • Mott transition
  • artificial magnetic filed
  • cold atom
  • loop current
  • optical lattice
  • staggered flux
  • variational Monte Carlo method

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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