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

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

研究成果: Article査読

3 被引用数 (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.

ジャーナルPhysical Review A
出版ステータスPublished - 2016 10 25

ASJC Scopus subject areas

  • 原子分子物理学および光学


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