BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
arXiv:cond-mat/0404274 · doi:10.1016/j.physrep.2005.02.005
Abstract
We review the BCS to Bose Einstein condensation (BEC) crossover scenario which is based on the well known crossover generalization of the BCS ground state wavefunction . While this ground state has been summarized extensively in the literature, this Review is devoted to less widely discussed issues: understanding the effects of finite temperature, primarily below , in a manner consistent with . Our emphasis is on the intersection of two important problems: high superconductivity and superfluidity in ultracold fermionic atomic gases. We address the "pseudogap state" in the copper oxide superconductors from the vantage point of a BCS-BEC crossover scenario, although there is no consensus on the applicability of this scheme to high . We argue that it also provides a useful basis for studying atomic gases near the unitary scattering regime; they are most likely in the counterpart pseudogap phase. That is, superconductivity takes place out of a non-Fermi liquid state where preformed, metastable fermion pairs are present at the onset of their Bose condensation. As a microscopic basis for this work, we summarize a variety of -matrix approaches, and assess their theoretical consistency. A close connection with conventional superconducting fluctuation theories is emphasized and exploited.
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Cited by in corpus (536)
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- Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
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- Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
- Superconducting properties of 3D low-density TI-bipolaron gas in magnetic field
- Two-particle bound states on a lattice
- Nucleation of Spontaneous Vortices in Trapped Fermi Gases Undergoing a BCS-BEC Crossover
- Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
- Variational Monte Carlo Study of Spin-Gapped Normal State and BCS-BEC Crossover in Two-Dimensional Attractive Hubbard Model
- Unusual condensates in quark and atomic systems
- Variational and Parquet-diagram theory for strongly correlated normal and superfluid systems
- Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
- Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
- s- and d-wave superconductivity in a two-band model
- Interface and bulk superconductivity in superconducting heterostructures with enhanced critical temperatures
- Phase transitions in the boson-fermion resonance model in one dimension
- The Two Component Optical Conductivity in the Cuprates: A Necessary Consequence of Preformed Pairs
- Effects of three-body scattering processes on BCS-BEC crossover
- High temperature superconductivity from realistic long-range Coulomb and Fröhlich interactions
- Zero density limit extrapolation of the superfluid transition temperature in a unitary atomic Fermi gas on a lattice
- BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
- Phases of circle-compactified QCD with adjoint fermions at finite density
- Quantum dynamics, particle delocalization and instability of Mott states: the effect of fermion-boson conversion on Mott states
- LOFF and breached pairing with cold atoms
- Simulating sympathetic cooling of atomic mixtures in nonlinear traps
- The Non-universal behaviour of Cold Fermi Condensates with Narrow Feshbach Resonances
- Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits
- Emergent Fano-Feshbach resonance in two-band superconductors with an incipient quasi-flat band: Enhanced critical temperature evading particle-hole fluctuations
- Unusual destruction and enhancement of superfluidity of atomic Fermi gases by population imbalance in a one-dimensional optical lattice
- Effects of Disorder on Superconductivity of Systems with Coexisting Itinerant Electrons and Local Pairs
- Tripling Fluctuations and Peaked Sound Speed in Fermionic Matter
- Condensation of Galactic Cold Dark Matter
- Superconductivity of the FeSe/SrTiO3 Interface in the View of BCS-BEC Crossover
- Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
- Interaction and coherence in 2D bilayers
- Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
- Electron Pairing and Nematicity in LaAlO/SrTiO Nanostructures
- Equation of State in a Strongly Interacting Relativistic System
- Enhancement of pairing due to the presence of resonant cavities
- Flow equation approach to the linear response theory of superconductors
- Bose-Einstein condensation temperature of a gas of weakly dissociated diatomic molecules
- Evolution of pairing from weak to strong coupling on a honeycomb lattice
- Experimental observation of pseudogap in a modulation-doped Mott insulator: Sn/Si(111)-()-R30
- Test for BCS-BEC Crossover in the Cuprate Superconductors
- Spin susceptibility and effects of a harmonic trap in the BCS-BEC crossover regime of an ultracold Fermi gas
- Exact correlation functions in the cuprate pseudogap phase: combined effects of charge order and pairing
- Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
- Collective modes in asymmetric ultracold Fermi systems
- Contrasting Nodal and Anti-Nodal Behavior in the Cuprates Via Multiple Gap Spectroscopies
- A new effective interaction for the trapped fermi gas: the BEC-BCS crossover
- Impurity effects on BCS-BEC crossover in ultracold atomic Fermi gases
- A Holographic Model for Pseudogap in BCS-BEC Crossover (I): Pairing Fluctuations, Double-Trace Deformation and Dynamics of Bulk Bosonic Fluid
- Observation of the density dependence of the closed-channel fraction of a Li superfluid
- Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
- Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
- Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
- Quantum fluctuations and vortex-antivortex unbinding in the 2D BCS-BEC crossover
- Brueckner -matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
- Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
- Modified Method in Electronic Systems
- Single-particle Excitations and Effects of Hetero-pairing Fluctuations in a Bose-Fermi Mixture with a Feshbach Resonance
- Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
- The BCS Energy Gap at High Density
- BCS-BEC Crossover in Mix-dimensional Fermi Gases
- Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
- Asymmetric Bethe-Salpeter equation for pairing and condensation
- Non-relativistic trace anomaly and equation of state in dense fermionic matter
- BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling
- General pairing theory for condensed and non-condensed pairs of a superconductor in a high magnetic field
- Dimensionality-induced BCS-BEC crossover in layered superconductors
- Spectroscopic Bogoliubov features near the unitary limit
- Dissipationless BCS Dynamics with Large Branch Imbalance
- Exotic superfluidity and pairing phenomena in atomic Fermi gases in mixed dimensions
- Dynamic properties of superconductors: Anderson-Bogoliubov mode and Berry phase in BCS and BEC regimes
- Universal approach to light driven "superconductivity" via preformed pairs
- Significance of dressed molecules in a quasi-two-dimensional polarized Fermi gas
- Pseudogap and charge dynamics in doped cuprates
- Strong pairing in two dimensions: Pseudogaps, domes, and other implications
- Fundamental Constraints on Linear Response Theories of Fermi Superfluids Above and Below
- Theory of THz Conductivity in the Pseudogap Phase of the Cuprates: A Pre-Formed Pair Perspective
- Unified approach to electrical and thermal transport in high- superconductors
- Stable pair liquid phase in fermionic systems
- Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional cubic optical lattice
- Theory of Extrinsic and Intrinsic Tunnelling in Cuprate Superconductors
- Increasing superconducting by layering in the attractive Hubbard model
- Universal trimers with p-wave interactions and the faux-Efimov effect
- Dynamical effects on superconductivity in BCS-BEC crossover
- Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with - or -wave pairing
- Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases
- Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum rule consistent response functions of the pseudogap
- Dark matter as the Bose-Einstein condensation in loop quantum cosmology
- Superfluid/ferromagnet/superfluid junction and -phase in a superfluid Fermi gas
- Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part II: Effects of population imbalance
- Coexistence of topological and nontopological Fermi-superfluid phases
- Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
- Development of an apparatus for cooling 6Li-87Rb Fermi-Bose mixtures in a light-assisted magnetic trap
- On the Boson-Fermion resonant model on a lattice
- Ultra high temperature superfluidity in ultracold atomic Fermi gases with mixed dimensionality
- Slow-light probe of Fermi pairing through an atom-molecule dark state
- Towards A Possible Charge-Kondo effect in Optical Lattices
- Resonant scattering effect in spectroscopies of interacting atomic gases
- Relation connecting thermodynamics and transport of atomic unitary Fermi superfluids
- Ground states of atomic Fermi gases in a two-dimensional optical lattice with and without population imbalance
- Pseudogap Effects of Fermi Gases in the Presence of A Strong Effective Magnetic Field
- Establishing the Gauge Invariant Linear Response of Fermionic Superfluids with Pair Fluctuations: A Diagrammatic approach
- Proximity effects and pair currents in cuprate junctions
- Fluctuation Theory of Rashba Fermi Gases
- Pseudogap in cuprate and organic superconductors
- Spectral properties and observables in ultracold Fermi gases
- Dip-hump temperature dependence of Specific Heat and Effects of Pairing Fluctuations in the Weak-coupling Side of a -wave Interacting Fermi Gas
- Lifshitz transitions induced by magnetic field
- Lateral quantum confinement effect on monolayer high-Tc superconductors
- Effect of site dilution in the two-dimensional attractive Hubbard model
- Crossovers in Unitary Fermi Systems
- Goldstone and Higgs Hydrodynamics in the BCS-BEC Crossover
- Phase coherence and spectral functions in the two-dimensional excitonic systems
- Topological effects on transition temperatures and response functions in three-dimensional Fermi superfluids
- Superfluidity in atomic Fermi gases
- Ginzburg-Landau Formalism for 2n-Body Condensation
- Critical temperature in the BCS-BEC crossover with spin-orbit coupling
- Theory of Diamagnetism in the Pseudogap Phase: Implications from the Self energy of Angle Resolved Photoemission
- Flat band effects on the ground-state BCS-BEC crossover in atomic Fermi gases in a quasi-two-dimensional Lieb lattice
- A Composite Fermion Approach to the Ultracold Dilute Fermi Gas
- Pairing properties of an odd-frequency superfluid Fermi gas
- Majorana fermions in Kitaev chains side-coupled to normal metals
- Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
- Signature of preformed pairs in angle-resolved photoemission spectroscopy
- Mediated Interactions and Damping Effects in Superfluid Mixtures of Bose and Fermi Gases
- Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models
- Matter-wave bistability in coupled atom-molecule quantum gases
- Pseudogap in fermionic density of states in the BCS-BEC crossover of atomic Fermi gases
- HTSC Cuprate Phase Diagram Using a Modified Boson-Fermion-Gossamer Model Describing Competing Orders, a Quantum Critical Point and Possible Resonance Complex
- Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
- Searching for Fermi Surfaces in Super-QED
- Stabilization of vortex-liquid state by strong pairing interaction
- Fermi condensates for dynamic imaging of electro-magnetic fields
- Unconventional particle-hole mixing in the systems with strong superconducting fluctuations
- Superfluid density reduction and spin-imbalanced pairing in a fermionic superfluid due to dynamical boson exchange
- An analysis of variational wave function for the pairing problem in strongly correlated system
- Pseudogap regime of a two-dimensional uniform Fermi gas
- Conserving Approximation of Pairing theories in Fermionic superfluid phase
- Shear Viscosity of Uniform Fermi Gases with Population Imbalance
- Strong-coupling Properties of a -wave Interacting Fermi Gas on the Viewpoint of Specific Heat at Constant Volume
- Collective excitation and stability of flow-induced gapless Fermi superfluids
- A lower bound for the BCS functional with boundary conditions at infinity
- Two-dimensional spin-imbalanced Fermi gases at non-zero temperature: Phase separation of a non-condensate
- Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
- Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations
- Unitary Fermi superfluid near the critical temperature: thermodynamics and sound modes from elementary excitations
- Bose-Einstein Condensation for an Exponential Density of States Function and Lerch Zeta Function
- Stability of condensate in superconductors
- Hybrid-pair superfluidity in a strongly driven Fermi gas
- Shear viscosity and imperfect fluidity in bosonic and fermionic superfluids
- Impact of Disorder on the Superconducting Properties and BCS-BEC Crossover in FeSe Single Crystals
- Spectral function of Fermi polarons at finite temperature from a self-consistent many-body -matrix approach in real frequency
- On Translational Superfluidity and the Landau Criterion for Trapped Bose gases in the Gross-Pitaevski Limit
- Dynamical BCS theory of a two-dimensional attractive Fermi gas: effective interactions from Quantum Monte Carlo calculations
- Dynamical mean-field equations for strongly interacting fermionic atoms in a potential trap
- Response functions of hot and dense matter in the Nambu-Jona-Lasino model
- The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
- A Description of Phases with Induced Hybridisation at Finite Temperatures
- Three small systems showing probable room-temperature superconductivity
- Proposed Model of the Giant Thermal Hall Effect in Two-Dimensional Superconductors: An Extension to the Superconducting Fluctuations Regime
- The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
- Effect of boson on-site repulsion on the superfluidity in the boson-fermion-Hubbard model
- Topological phase transition based on the attractive Hubbard model
- BCS-BEC Crossover in Two-Dimensional Attractive Hubbard Model under Magnetic Field
- Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
- The flow equation approach to the pairing instability problem
- Continuous quantum phase transition in the fermionic mass solutions of the Nambu-Jona-Lasinio model
- Damping-free collective oscillations of a driven two-component Bose gas in optical lattices
- Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice
- Pairing fluctuation effects in a strongly coupled color superfluid/superconductor
- Normal-state Properties of a Unitary Bose-Fermi Mixture: A Combined Strong-coupling Approach with Universal Thermodynamics
- A lattice pairing-field approach to ultracold Fermi gases
- An Effective Series Expansion to the Equation of State of Unitary Fermi Gases
- States of fermionic atoms in an optical superlattice across a Feshbach resonance
- Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
- Faraday Waves in strongly interacting superfluids
- Tunable Molecular Interactions Near an Atomic Feshbach Resonance: Stability and Collapse of a Molecular Bose-Einstein Condensate
- Hidden Bose-Einstein Singularities in Correlated Electron Systems: II. Pseudogap Phase in the Weakly Attractive Hubbard Model
- Observation of high partial-wave Feshbach resonances in K Bose-Einstein condensates
- Electron pairing and evidence of a BCS-BEC crossover in d-wave superconductors
- Probing the homogeneous spectral function of a strongly interacting superfluid atomic Fermi gas in a trap using phase separation and momentum resolved rf spectroscopy
- Introduction to High-Temperature Superconductivity for Solid State Chemists
- Superfluid properties of an ultracold Fermi gas with an orbital Feshbach resonance in the BCS-BEC crossover region
- Possibility of BCS-BEC crossover in -type organic superconductors
- Critical pairing fluctuations in the normal state of a superconductor: pseudogap and quasi-particle damping
- Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover
- Spectroscopic evidence of disorder-induced quantum phase transitions in monolayer Fe(Te,Se) superconductor
- Appropriate conditions to realize a -wave superfluid state starting from a spin-orbit coupled -wave superfluid Fermi gas
- Real-space d-wave superconductivity from weak attraction
- Negative Echo in the Density Evolution of Ultracold Fermionic Gases
- Interplay of the pseudogap and the BCS gap for heteropairs in K-Li mixture
- Cutting rules and positivity in finite temperature many-body theory
- What can ultracold Fermi gases teach us about high superconductors and vice versa?
- Quasiparticle states driven by a scattering on the preformed electron pairs
- BCS thermal vacuum of fermionic superfluids and its perturbation theory
- Fluctuation conductivity due to the preformed local pairs
- One-dimensional Cooper pairing
- BCS-BEC crossover driven by small Fermi pockets of a high-Tc cuprate superconductor
- Comparison of Two Interpretations of Josephson Effect
- Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model