Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions

Abstract

We theoretically investigate in-medium two- and three-body correlations in one-dimensional two-component Fermi gases with coexistent even-parity s-wave and odd-parity p-wave interactions. We find the solutions of the stable in-medium three-body cluster states such as Cooper triple by solving the corresponding in-medium variational equations. We further feature the phase diagram consisting of the s- and p-wave Cooper pairing phase, and Cooper tripling phase, in the plane of s- and p-wave pairing strengths. The Cooper tripling phase dominates over the pairing phases when both s- and p-wave interactions are moderately strong.

arXiv comment7 pages, 3 figures

References in corpus (40)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• The density-matrix renormalization group
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Superconductivity in Iron Compounds
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Efimov Physics: a review
• Confinement induced molecules in a 1D Fermi gas
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Tuning p-wave interactions in an ultracold Fermi gas of atoms
• BCS-BEC Crossover and the Unitary Fermi Gas
• Four-particle condensate in strongly coupled fermion systems
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Unconventional Superconductivity
• Quantum phase transitions across p-wave Feshbach resonance
• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Feshbach Resonances in Fermionic Lithium-6
• Effective field theory description of halo nuclei
• Collisional Properties of p-Wave Feshbach Molecules
• Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
• Experimental Determination of p-wave Scattering Parameters in ultracold 6Li atoms
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Pauli blocking effects and Cooper triples in three-component Fermi gases
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Stretching p-wave molecules by transverse confinements
• A quartet BCS-like theory
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Three-body correlations in a two-dimensional SU(3) Fermi gas
• Cooper quartet correlations in infinite symmetric nuclear matter
• Two-neutron halo nuclei in one dimension: dineutron correlation and breakup reaction
• Condensation of Cooper Triples
• Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
• Fermion superfluid with hybridized $s$- and $p$-wave pairings
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Unitary $p$-wave Fermi gas in one dimension
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Biexciton-like quartet condensates in an electron-hole liquid
• Stability against three-body clustering in one-dimensional spinless p-wave fermions

Cited by in corpus (6)

• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• Non-relativistic trace anomaly and equation of state in dense fermionic matter
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions