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.

7 pages, 3 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Unconventional Superconductivity
• Collisional Properties of p-Wave Feshbach Molecules
• 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
• Unitary $p$-wave Fermi gas in one dimension
• 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