Hidden string order in a hole-superconductor with extended correlated hopping

Abstract

Ultracold fermions in a one-dimensional, spin-dependent, optical lattice are described by a non-standard Hubbard model with next-nearest-neighbour correlated hopping. Periodic driving of the lattice allows wide tuning of the system parameters. We solve this model exactly for a special value of the correlated hopping. The solution reveals the general properties of this system for arbitrary filling: exact and asymmetric spin-charge separation, a gapless spectrum of lowest energy excitations, a spin-gap, which may be interpreted in terms of collective hole pairing and a non-vanishing den Nijs-Rommelse type string correlator. Numerical studies away from the integrable point show the persistence of both long range string order and spin-gap.

5+2 pages

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• Hidden Magnetism in Periodically Modulated One Dimensional Dipolar Fermions
• Two-fluid coexistence and phase separation in a one dimensional model with pair hopping and density interactions
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• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Clustered Superfluids in the One Dimensional Bose-Hubbard model with extended correlated hopping
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