Inhomogeneous superconducting state in quasi-one-dimensional systems

Abstract

We report on results of theoretical study of non-uniform superconducting states in quasi-one-dimensional systems, with attractive interactions and Zeeman splitting between electron spins. Using bosonization to treat intrachain electron-electron interactions, and a combination of renormalization group and mean-field approximation to tackle interchain couplings, we obtain the phase diagram of the system, and show that the transition between the uniform and non-uniform superconducting phases is a continuous transition of the commensurate-incommensurate type.

4 pages with one embedded eps figure

References in corpus (7)

• Bosonization and Strongly Correlated Systems
• Quantum Theory of the Smectic Metal State in Stripe Phases
• Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
• Superconductivity in Ferromagnetic RuSr2GdCu2O8
• Dimensional Crossover in Quasi One-Dimensional and High T_c Superconductors
• Josephson Effect in Fulde-Ferrell-Larkin-Ovchinnikov Superconductors
• Scaling Exponents in the Incommensurate Phase of the Sine-Gordon and U(1) Thirring Models

Cited by in corpus (114)

• Theory of ultracold Fermi gases
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• The Physics of Pair Density Waves
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Imbalanced Feshbach-resonant Fermi gases
• Ultra-cold Polarized Fermi Gases
• Quantum liquid crystals in imbalanced Fermi gas: fluctuations and fractional vortices in Larkin-Ovchinnikov states
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Quasi-one-dimensional polarized Fermi superfluids
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Matrix product ansatz for Fermi fields in one dimension
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• Physics of higher orbital bands in optical lattices: a review
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Theory of quasi-one dimensional imbalanced Fermi gases
• Larkin-Ovchinnikov state in resonant Fermi gas
• Paired states in spin-imbalanced atomic Fermi gases in one dimension
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Supersolidity in ultra-cold dipolar gases
• Inhomogeneous Topological Superfluidity in One-Dimensional Spin-Orbit-Coupled Fermi Gases
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Luttinger liquid of trimers in Fermi gases with unequal masses
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Fulde-Ferrell-Larkin-Ovchinnikov state in disordered s-wave superconductors
• Realization and Detection of Fulde-Ferrell-Larkin-Ovchinnikov Superfluid Phases in Trapped Atomic Fermion Systems
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• Pairing of few Fermi atoms in one dimension
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive spin-1/2 Fermi gas
• Spin Helix of Magnetic Impurities in Two-dimensional Helical Metal
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Quantum liquid-crystal order in resonant atomic gases
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Fulde-Ferrell-Larkin-Ovchinnikov pairing as leading instability on the square lattice
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Controlling the pair momentum of the FFLO state in a 3D Fermi gas through a 1D periodic potential
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Fulde-Ferrell--Larkin-Ovchinnikov state in the dimensional crossover between one- and three-dimensional lattices
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
• FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Collective modes as a probe of imbalanced Fermi gases
• Rotating Fulde-Ferrell-Larkin-Ovchinnikov state in cold Fermi gases
• Oscillatory pairing of fermions in spin-split traps
• Fluctuation-Driven First-Order Transition in Pauli-limited d-wave Superconductors
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Two-component repulsive Fermi gases with population imbalance in elongated harmonic traps
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
• Interplay between the Fulde-Ferrell phase and Larkin-Ovchinnikov phase in the superconducting ring pierced by an Aharonov-Bohm flux
• Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases
• Exciton Condensate Modulation in Electron-Hole Bilayers: A Real-Space Visualization
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Phase diagrams of polarized ultra-cold gases on attractive-U Hubbard ladders
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Unconventional pairing in few-fermion systems at finite temperature
• Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Fermionic trimers in spin-dependent optical lattices
• Phase Separation of Superfluids in the Chain of Four-Component Ultracold Atoms
• Do phase fluctuations influence the Fulde-Ferrell-Larkin-Ovchinnikov state in a 3D Fermi gas?
• Class of variational ansaetze for the "spin-incoherent" ground-state of a Luttinger liquid coupled to a spin bath
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Imbalanced superfluid state in an annular disk
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Multi-particle instability in a spin-imbalanced Fermi gas
• Moving perturbation in a one-dimensional Fermi gas
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• In-plane magnetic field-induced orbital FFLO superconductivity in twisted WSe${}_2$ homobilayers
• Hierarchy of pairing in imbalanced three-component one-dimensional Fermi gas
• Finite momentum condensate brought on by Zeeman field
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
• Unconventional pairing in few-fermion systems tuned by external confinement