Fractional quantum Hall states of dipolar fermions in a strained optical lattice

Hiroyuki Fujita, Yuya O. Nakagawa, Yuto Ashida, Shunsuke Furukawa

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We study strongly correlated ground states of dipolar fermions in a honeycomb optical lattice with spatial variations in hopping amplitudes. Similar to strained graphene, such nonuniform hopping amplitudes produce valley-dependent pseudomagnetic fields for fermions near the two Dirac points, resulting in the formation of Landau levels. The dipole moments aligned perpendicular to the honeycomb plane yield a long-range repulsive interaction. By exact diagonalization in the zeroth-Landau-level basis, we show that this repulsive interaction stabilizes a variety of valley-polarized fractional quantum Hall states such as Laughlin and composite-fermion states. The present system thus offers an intriguing platform for emulating fractional quantum Hall physics in a static optical lattice. We calculate the energy gaps above these incompressible states and discuss the temperature scales required for their experimental realization.

Original languageEnglish
Article number043641
JournalPhysical Review A
Issue number4
Publication statusPublished - 2016 Oct 25
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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