Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition

Abstract

We study the superconducting properties of population-imbalanced ultracold Fermi mixtures in one-dimensional (1D) optical lattices that can be effectively described by the spin-imbalanced attractive Hubbard model (AHM) in the presence of a Zeeman magnetic field. We use the mean-field theory approach to obtain the ground state phase diagrams including some unconventional superconducting phases such as the Fulde--Ferrell--Larkin--Ovchinnikov (FFLO) phase, and the $\eta$ phase (an extremal case of the FFLO phase), both for the case of a fixed chemical potential and for a fixed number of particles. It allows to determine optimal regimes for the FFLO phase as well as $\eta$-pairing stability. We also investigate the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (BEC) with increasing attraction, at $T=0$. Finally, the obtained results show that despite of the occurrence of the Lifshitz transition induced by an external magnetic field, the superconducting state can still exist in the system, at higher magnetic field values.

5 figures

References in corpus (67)

• Quantum Simulation
• Pairing and Phase Separation in a Polarized Fermi Gas
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in CeCoIn5
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Interior Gap Superfluidity
• Non-standard Hubbard models in optical lattices: a review
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• First order superconducting phase transition in CeCoIn${}_5$
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Ultracold Heteronuclear Fermi-Fermi Molecules
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Inhomogeneous superconducting state in quasi-one-dimensional systems
• Quasi-one-dimensional polarized Fermi superfluids
• Shallow pockets and very strong coupling superconductivity in FeSe_xTe_1-x
• Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
• $\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Generic Phase Diagram of Fermion Superfluids with Population Imbalance
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• Structure of the Fulde-Ferrell-Larkin-Ovchinnikov state in two-dimensional superconductors
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Hydrodynamic Expansion of a Strongly Interacting Fermi-Fermi Mixture
• Pauli-Limited Multiband Superconductivity in KFe2As2
• Ginzburg-Landau theory of Fulde-Ferrell-Larkin-Ovchinnikov states in unconventional singlet superconductors with impurities
• Non-standard pairing in asymmetric trapped Fermi gases
• Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Multi-particle composites in density-imbalanced quantum fluids
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Pairing in a two-dimensional Fermi gas with population imbalance
• Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
• Magnetic Lifshitz transition and its consequences in multi-band iron-based superconductors
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• Angular Fulde-Ferrell-Larkin-Ovchinnikov state in cold fermion gases in a toroidal trap
• Phase separation in a lattice model of a superconductor with pair hopping
• Critical field in a model with local pairs
• Fulde-Ferrell-Larkin-Ovchinnikov critical polarization in one-dimensional fermionic optical lattices
• Superconductor-Insulator Transition and Fermi-Bose Crossovers
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Anomalous fluctuation regimes at the FFLO transition
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Superconductivity, metastability and magnetic field induced phase separation in the atomic limit of the Penson-Kolb-Hubbard model
• GPU-based acceleration of free energy calculations in solid state physics
• Some properties of two dimensional extended repulsive Hubbard model with intersite magnetic interactions - a Monte Carlo study
• Quantum fluctuations in Larkin-Ovchinnikov-Fulde-Ferrell superconductors
• Phase separation of superconducting phases in the Penson-Kolb-Hubbard model
• From an insulating to a superfluid pair-bond liquid
• Multiple phase transitions in Pauli limited iron-based superconductors
• Fluctuation-Driven First-Order Transition in Pauli-limited d-wave Superconductors
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• FFLO order in ultra-cold atoms in three-dimensional optical lattices
• Quantum normal-to-inhomogeneous superconductor phase transition in nearly two-dimensional metals
• Comment on "Pairing and Phase Separation in a Polarized Fermi Gas" by G. B. Partridge, W. Li, R. I. Kamar, Y. Liao, R. G. Hulet, Science 311, 503 (2006)

Cited by in corpus (16)

• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at $T>0$
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Multicriticality in a one-dimensional topological band insulator
• Reentrant Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in the honeycomb lattice
• Feasibility of a Fulde-Ferrell-Larkin-Ovchinnikov superfluid Fermi atomic gas
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Phase transitions in quasi-one dimensional system with unconventional superconductivity
• Unconventional pairing in few-fermion systems at finite temperature
• Thermodynamic and electromagnetic properties of the eta-pairing superconductivity in the Penson-Kolb model
• Lifshitz transitions induced by magnetic field
• Electronic properties and surface states of RbNi${}_2$Se${}_2$
• Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice
• $\eta$-pairing on bipartite and non-bipartite lattices
• Connection between the semiconductor--superconductor transition and the spin-polarized superconducting phase in the honeycomb lattice