Stability against three-body clustering in one-dimensional spinless p-wave fermions

Abstract

We theoretically investigate in-medium two- and three-body correlations in one-dimensional spinless fermions with attractive two-body p-wave interaction. By investigating the variational problem of two- and three-body states above the Fermi sea, we elucidate the fate of the in-medium two- and three-body cluster states. The one-dimensional system with the strong p-wave interaction is found to be stable against the formation of three-body clusters even in the presence of the Fermi sea, in contrast to higher-dimensional systems that suffer the strong three-body loss associated with the trimer formation.

arXiv comment10 pages, 5 figures

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• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• 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
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
• 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