Role of the effective range in the density-induced BEC-BCS crossover
arXiv:2206.12599 · doi:10.1103/PhysRevA.106.043308
Abstract
We elucidate the role of the effective range in the Bose-Einstein-condensate (BEC) to Bardeen-Cooper-Schrieffer (BCS) crossover regime of two-component fermions in three dimensions. In contrast to ultracold Fermi gases near the broad Feshbach resonance, where the interaction can be characterized by the contact-type interaction, the interaction range in general becomes important in the density-induced BEC-BCS crossover discussed in the context of condensed-matter and nuclear systems. Characterizing the non-local interaction in terms of the low-energy constants such as scattering length and effective range , we show how the crossover phenomena are affected by nonzero effective ranges. In particular, we show that the superfluid order parameter is strongly suppressed in the high-density regime and the sound velocity exhibits a non-monotonic behavior reflecting mechanical stability of the system. Moreover, we point out that the high-momentum tail associated with the contact parameter can be visible when the magnitude of momentum is much less than .
arXiv comment31 pages, 11 figures, In this version, several mistakes and typos have been corrected. The Appendix C for the dilute BEC limit and the molecule-molecule repulsion has been added. The discussion about the nuclear contact has been updated
References in corpus (60)
- Feshbach Resonances in Ultracold Gases
- An accurate nucleon-nucleon potential with charge-independence breaking
- Observation of resonance condensation of fermionic atom pairs
- Chiral effective field theory and nuclear forces
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
- Large momentum part of fermions with large scattering length
- Energetics of a strongly correlated Fermi gas
- Weakly bound dimers of fermionic atoms
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- The Unitary Fermi Gas: From Monte Carlo to Density Functionals
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Resonantly-paired fermionic superfluids
- Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Strongly paired fermions: Cold atoms and neutron matter
- On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
- Resonant Fermi gases with a large effective range
- Neutron Matter from Low to High Density
- Gate-controlled BCS-BEC crossover in a two-dimensional superconductor
- From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
- Crossover between Strongly-coupled and Weakly-coupled Exciton Superfluids
- The nuclear contacts and short range correlations in nuclei
- Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
- BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
- Density-induced BCS to Bose-Einstein crossover
- Effective-Range Dependence of Resonantly Interacting Fermions
- Correlated Fermion Pairs in Nuclei and Ultracold Atomic Gases
- Structural Change of Cooper Pairs and Momentum-dependent Gap in Color Superconductivity
- Ground-state thermodynamic quantities of homogeneous spin- fermions from the BCS region to the unitarity limit
- Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
- BEC-BCS Crossover and the Liquid-Gas Phase Transition in Hot and Dense Nuclear Matter
- Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
- Optical control of Feshbach resonances in Fermi gases using molecular dark states
- BCS-BEC crossover with a finite-range interaction
- Two-colour QCD phases and the topology at low temperature and high density
- Designer Spatial Control of Interactions in Ultracold Gases
- Relativistic BCS-BEC Crossover at Zero Temperature
- Strong-coupling corrections to ground-state properties of a superfluid Fermi gas
- Gap equation with pairing correlations beyond mean field and its equivalence to a Hugenholtz-Pines condition for fermion pairs
- Optical Control of the Scattering Length and Effective Range for Magnetically Tunable Feshbach Resonances in Ultracold Gases
- Mott-driven BEC-BCS crossover in a doped spin liquid candidate, kappa-(BEDT-TTF)4Hg2.89Br8
- Multicomponent screening and superfluidity in gapped electron-hole double bilayer graphene with realistic bands
- Cold Atom Quantum Simulator for Dilute Neutron Matter
- Effective-range dependence of resonant Fermi gases
- Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
- Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
- Cooper quartet correlations in infinite symmetric nuclear matter
- Effective interaction between molecules in the BEC regime of a superfluid Fermi gas
- An alternative scheme for effective range corrections in pionless EFT
- Pairing in pure neutron matter
- Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
- Theory of strongly paired fermions with arbitrary short-range interactions
- Biexciton-like quartet condensates in an electron-hole liquid
- Probing Energy-Dependent Feshbach Resonances by Optical Control
- Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
- Cluster formation in two-component Fermi gases
- Low-momentum interactions for ultracold Fermi gases
- Strong-coupling effects of pairing fluctuations, and Anderson-Bogoliubov mode in neutron S superfluids in neutron stars
- Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
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- Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
- Brueckner -matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
- Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
- Quartet correlations near the surface of nuclei
- Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
- Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective
- Weighted Hartree-Fock-Bogoliubov method for interacting fermions: An application to ultracold Fermi superfluids