Finite temperature stability and dimensional crossover of exotic superfluidity in lattices

Abstract

We investigate exotic paired states of spin-imbalanced Fermi gases in anisotropic lattices, tuning the dimension between one and three. We calculate the finite temperature phase diagram of the system using real-space dynamical mean-field theory in combination with the quantum Monte Carlo method. We find that regardless of the intermediate dimensions examined, the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state survives to reach about one third of the BCS critical temperature of the spin-density balanced case. We show how the gapless nature of the state found is reflected in the local spectral function. While the FFLO state is found at a wide range of polarizations at low temperatures across the dimensional crossover, with increasing temperature we find out strongly dimensionality-dependent melting characteristics of shell structures related to harmonic confinement. Moreover, we show that intermediate dimension can help to stabilize an extremely uniform finite temperature FFLO state despite the presence of harmonic confinement.

5 pages, 3 figures

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• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
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• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• 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
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• 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
• Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• FFLO order in ultra-cold atoms in three-dimensional optical lattices
• Thermal transitions, pseudogap behavior and BCS-BEC crossover in Fermi-Fermi mixtures
• Anomalous pseudogap in population imbalanced Fermi superfluids
• Moving perturbation in a one-dimensional Fermi gas
• Temperature tuned Fermi surface topology and segmentation in non-centrosymmetric superconductors