Ultralong-range order in the Fermi-Hubbard model with long-range interactions

Abstract

We use the dual boson approach to reveal the phase diagram of the Fermi-Hubbard model with long-range dipole-dipole interactions. By using a large-scale finite-temperature calculation on a $64\times 64$ square lattice we demonstrate the existence of a novel phase, possessing an `ultralong-range' order. The fingerprint of this phase -- the density correlation function -- features a non-trivial behavior on a scale of tens of the lattice sites. We study the properties and the stability of the ultralong-range ordered phase, and show that it is accessible in modern experiments with ultracold polar molecules and magnetic atoms.

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Cited by in corpus (19)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Charge ordering and correlation effects in the extended Hubbard model
• Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
• Renormalization of effective interactions in a negative charge-transfer insulator
• Charge ordering and non-local correlations in the doped extended Hubbard model
• The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry
• A comparison between methods of analytical continuation for bosonic functions
• The extended Hubbard model with attractive interactions
• Formation and fragmentation of quantum droplets in a quasi-one dimensional dipolar Bose gas
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• Stochastic pole expansion method
• Laser cooling of a fermionic molecule
• Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
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• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Nonequilibrium dual-boson approach
• Dynamical symmetry in quantum dissipative models