Fulde-Ferrell--Larkin-Ovchinnikov state in the dimensional crossover between one- and three-dimensional lattices

Abstract

We present a full phase diagram for the one-dimensional (1D) to three-dimensional (3D) crossover of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in an attractive Hubbard model of 3D-coupled chains in a har- monic trap. We employ real-space dynamical mean-field theory which describes full local quantum fluctuations beyond the usual mean-field and local density approximation. We find strong dimensionality effects on the shell structure undergoing a crossover between distinctive quasi-1D and quasi-3D regimes. We predict an optimal regime for the FFLO state that is considerably extended to intermediate interchain couplings and polarizations, directly realizable with ultracold atomic gases. We find that the 1D-like FFLO feature is vulnerable to thermal fluctuations, while the FFLO state of mixed 1D-3D character can be stabilized at a higher temperature.

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Cited by in corpus (20)

• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Quantum gas microscopy of an attractive Fermi-Hubbard system
• Matrix product ansatz for Fermi fields in one dimension
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Finite temperature stability and dimensional crossover of exotic superfluidity in lattices
• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Fulde-Ferrell-Larkin-Ovchinnikov pairing as leading instability on the square lattice
• Non-local quantum fluctuations and fermionic superfluidity in the imbalanced attractive Hubbard model
• Strong coupling s-wave superconductors in the extreme Pauli limit: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Bose-Hubbard model with occupation-parity couplings