Mott transition of fermionic mixtures with mass imbalance in optical lattices

Abstract

We investigate the effect of mass imbalance in binary Fermi mixtures loaded in optical lattices. Using dynamical mean-field theory, we study the transition from a fluid to a Mott insulator driven by the repulsive interactions. For almost every value of the parameters we find that the light species with smaller bare mass is more affected by correlations than the heavy one, so that their effective masses become closer than their bare masses before a Mott transition occurs. The strength of the critical repulsion decreases monotonically as the mass imbalance grows so that the minimum is realized when one of the species is localized. The evolution of the spectral functions testifies that a continuous loss of coherence and a destruction of the Fermi liquid occur as the imbalance grows. The two species display distinct properties and experimentally-observable deviations from the behavior of a balanced Fermi mixture.

9 pages, 6 figures

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• Phase diagram of the asymmetric Hubbard model and an entropic chromatographic method for cooling cold fermions in optical lattices
• Extended Falicov-Kimball model: Exact solution for finite temperatures
• Extended Falicov-Kimball model: exact solution for the ground state
• Mass-Imbalanced Ionic Hubbard Chain
• Mott-Hubbard transition in the mass-imbalanced Hubbard model
• Renormalized dispersing multiplets in the spectrum of nearly Mott localized systems
• Low-energy doublons in the ac-driven two-species Hubbard model
• Mass-imbalance induced metal-insulator transition in a three-component Hubbard model
• Mott transitions in three-component Falicov-Kimball model
• Orbital-selective thermalization plateau in the mass imbalanced Hubbard model
• Correlation-driven Lifshitz transition and orbital order in a two-band Hubbard model
• Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model
• Interplay of mass imbalance and frustration in correlated band insulators
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model