Supersolids in confined fermions on one-dimensional optical lattices

Abstract

Using quantum Monte Carlo simulations, we show that density-density and pairing correlation functions of the one-dimensional attractive fermionic Hubbard model in a harmonic confinement potential are characterized by the anomalous dimension $K_{\rho }$ of a corresponding periodic system, and hence display quantum critical behavior. The corresponding fluctuations render the SU(2) symmetry breaking by the confining potential irrelevant, leading to structure form factors for both correlation functions that scale with the same exponent upon increasing the system size, thus giving rise to a (quasi)supersolid.

4 pages, 5 figures, published version

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Cited by in corpus (11)

• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Creating a supersolid in one-dimensional Bose mixtures
• Supersolid state of ultracold fermions in an optical lattice
• Supersolid state in fermionic optical lattice systems
• Polarized Superfluidity in the imbalanced attractive Hubbard model
• Stability of Superflow for Ultracold Fermions in Optical Lattices
• Commensurability effects for fermionic atoms trapped in 1D optical lattices
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
• Noise correlations of one-dimensional Bose mixtures in optical lattices
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance