Effect of doublon-holon binding on Mott transition-variational Monte Carlo study of two-dimensional Bose Hubbard models

Hisatoshi Yokoyama, Tomoaki Miyagawa, Masao Ogata

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

To understand the mechanism of Mott transitions in the case of no magnetic influence, superfluid-insulator (Mott) transitions in the S = 0 Bose Hubbard model at unit filling are studied on square and triangular lattices, using a variational Monte Carlo method. In trial many-body wave functions, we introduce various types of attractive correlation factors between a doubly occupied site (doublon, D) and an empty site (holon, H), which play a central role for Mott transitions, in addition to the onsite repulsive (Gutzwiller) factor. By optimizing distance-dependent parameters, we study various properties of this type of wave functions. With a hint from the Mott transition arising in a completely D-H bound state, we propose an improved picture of Mott transitions, by introducing two characteristic length scales, the D-H binding length ζdh and the minimum D-D exclusion length ζdd. Generally, a Mott transition occurs when ζdh becomes comparable to ζdd. In the conductive (superfluid) state, domains of D-H pairs overlap with each other (ζdh > ζdd); therefore, D and H can propagate independently as density carriers by successively exchanging partners. In contrast, intersite repulsive Jastrow (D-D and H-H) factors have little importance for the Mott transition.

Original languageEnglish
Article number084607
Journaljournal of the physical society of japan
Volume80
Issue number8
DOIs
Publication statusPublished - 2011 Aug

Keywords

  • Bose Hubbard model
  • Doublon-holon binding
  • Insulator
  • Mott transition
  • Superfluid
  • Two dimensions
  • Variational Monte Carlo method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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