Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model

Hassan Shapourian, Bryan K. Clark

Research output: Contribution to journalArticle

Abstract

We study the extended Bose-Hubbard model on the square lattice at half-filling as a function of next-nearest neighbor hopping amplitude and interaction strength. To variationally map out the phase diagram of this model, we develop a two-parameter family of wave functions based on the parton construction which can describe both topological and broken symmetry phases on equal footing. In addition, our wave functions resolve long standing issues with more conventional short-range Jastrow wave functions. Using this variational ansatz, we show that a spontaneous time-reversal symmetry-breaking fractional Chern insulator is energetically favored over a critical region between two superfluid phases. In verifying the properties of these parton wave functions we exemplify a more robust way to identify topology through the Hall conductance.

Original languageEnglish (US)
Article number035125
JournalPhysical Review B
Volume93
Issue number3
DOIs
StatePublished - Jan 21 2016

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Hubbard model
Wave functions
insulators
wave functions
partons
broken symmetry
Phase diagrams
topology
phase diagrams
Topology
symmetry
interactions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model. / Shapourian, Hassan; Clark, Bryan K.

In: Physical Review B, Vol. 93, No. 3, 035125, 21.01.2016.

Research output: Contribution to journalArticle

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