Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors

Abstract

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is a novel superconducting state in a strong magnetic field characterized by the formation of Cooper pairs with nonzero total momentum (k \uparrow, -k+q \downarrow), instead of the ordinary BCS pairs (k \uparrow, -k \downarrow). A fascinating aspect of the FFLO state is that it exhibits inhomogeneous superconducting phases with a spatially oscillating order parameter and spin polarization. The FFLO state has been of interest in various research fields, not only in superconductors in solid state physics, but also in neutral Fermion superfluid of ultracold atomic gases and in color superconductivity in high energy physics. In spite of extensive studies of various superconductors, there has been no undisputed experimental verification of the FFLO state, mainly because of the very stringent conditions required of the superconducting materials. Among several classes of materials, certain heavy fermion and organic superconductors are believed to provide conditions that are favorable to the formation of the FFLO state. This review presents recent experimental and theoretical developments of the FFLO state mainly in heavy fermion superconductors. In particular we address the recently discovered quasi-two-dimensional superconductor CeCoIn_5, which is a strong candidate for the formation of the FFLO state.

17 pages, 12 figures with jpsf2.cls, to be published in J. Phys. Soc. Jpn. (Special Topics - Frontiers of Novel Superconductivity in Heavy Fermion Compounds)

References in corpus (5)

• Hidden Magnetism and Quantum Criticality in the Heavy Fermion Superconductor CeRhIn5
• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
• Observation of Spin Susceptibility Enhancement in the Possible FFLO State in CeCoIn${}_5$
• Field Dependent Coherence Length in the Superclean, High-Kappa Superconductor CeCoIn5

Cited by in corpus (71)

• Highly crystalline 2D superconductors
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
• Inhomogeneous chiral condensates
• Dislocations and vortices in pair density wave superconductors
• Ultra-cold Polarized Fermi Gases
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Two-dimensional Superconductors with Atomic-scale Thicknesses
• Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4
• The quantum critical point in CeRhIn_5: a resistivity study
• First-Order Superconducting Transition of Sr2RuO4
• Ground state of a tightly bound composite dimer immersed in a Fermi Sea
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Controllable Rashba spin-orbit interaction in artificially engineered superlattices involving the heavy-fermion superconductor CeCoIn5
• Field Re-entrant Superconductivity Induced by the Enhancement of Effective Mass in URhGe
• Odd-parity superconductivity in bilayer transition metal dichalcogenides
• Thermoelectric response near a quantum critical point: the case of CeCoIn5
• Broken translational and time-reversal symmetry in superconducting films
• Sharp magnetization jump at the first-order superconducting transition in Sr2RuO4
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Magnetic-Field Variations of the Pair-Breaking Effects of Superconductivity in (TMTSF)2ClO4
• FFLO Superconductivity near the Antiferromagnetic Quantum Critical Point
• Coexistence of SDW, d-wave singlet and staggered $\pi$-triplet superconductivity
• Specific-heat evidence of the first-order superconducting transition in Sr2RuO4
• Heavy-fermion superconductivity in Ce2PdIn8
• Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
• Anisotropic effect of Cd and Hg doping on Pauli limited superconductor CeCoIn${}_5$
• Magnetic Lifshitz transition and its consequences in multi-band iron-based superconductors
• Vortex State and Field-Angle Resolved Specific Heat Oscillation for H // ab in d-Wave Superconductors
• Imbalanced Superfluid Phase of a Trapped Fermi Gas in the BCS-BEC Crossover Regime
• Pauli Paramagnetic Effects on Vortices in Superconducting TmNi2B2C
• Phase separation of antiferromagnetic ground states in systems with imperfect nesting
• Emergent exotic superconductivity in artificially-engineered tricolor Kondo superlattices
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Evolution of the spin resonance in CeCoIn${}_5$ under magnetic field
• Polarized Superfluidity in the imbalanced attractive Hubbard model
• The ab initio study of unconventional superconductivity in CeCoIn${}_5$ and FeSe
• Instability of square vortex lattice in d-wave superconductors is due to paramagnetic depairing
• Quasiparticle Excitations in the Superconducting State of FeSe Probed by Thermal Hall Conductivity in the Vicinity of the BCS-BEC Crossover
• Current-carrying states in FFLO superconductors
• FFLO state in thin superconducting films
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• GPU-based acceleration of free energy calculations in solid state physics
• Spin imbalance effect on Larkin-Ovchinnikov-Fulde-Ferrel state
• Different types of the Fulde-Ferrell-Larkin-Ovchinnikov states induced by anisotropy effects
• Variational cluster approach to s-wave pairing in heavy-fermion superconductors
• Pauli-limited upper critical field in dirty d-wave superconductors
• Vortex state in d-wave superconductors with strong paramagnetism: transport and specific heat anisotropy
• Strongly spin-polarized current generated in Zeeman-split unconventional superconductors
• Antiferromagnetic order in the FFLO state
• Hidden Crossover Phenomena in Strongly Pauli Limited Multiband Superconductors ---Application to CeCu${}_2$Si${}_2$
• Is the anisotropy of the upper critical field of Sr${}_2$RuO${}_4$ consistent with a helical $p$-wave state?
• Low anisotropy of the upper critical field in a strongly anisotropic layered cuprate: Evidence for paramagnetically limited superconductivity
• Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and $\eta$-wave phases study
• High superconducting anisotropy and weak vortex pinning in Co doped LaFeAsO
• Formation of Cooper pairs between conduction and localized electrons in heavy-fermion superconductors
• Nodeless superconductivity in quasi-one-dimensional Nb2PdS5: A muSR study
• Terahertz Conductivity of the Heavy-Fermion State in CeCoIn5
• Aharonov-Bohm effect in superconducting LOFF state
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Quantum size effect on the paramagnetic critical field in Pb nanofilms
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Stability of FFLO states in optical lattices with bilayer structure
• Multi-orbital Fulde-Ferrell-Larkin-Ovchinnikov State in SrTiO_3 Heterostructures
• Lifshitz tricritical point and its relation to the FFLO superconducting state
• The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity
• Oscillations of magnetization and conductivity in anisotropic Fulde-Ferrell-Larkin-Ovchinnikov superconductors
• Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
• Fulde-Ferrell state in superconducting core/shell nanowires: role of the orbital effect