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

Abstract

We study strongly correlated ground states of dipolar fermions in a honeycomb optical lattice with spatial variations in hopping amplitudes. Similar to a 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 polarized 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.

arXiv comment13 pages, 6 figures

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Cited by in corpus (2)

• Two-dimensional optical quasicrystal potentials for ultracold atom experiments
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials