Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces

Yixin Guo (郭一昕); Hiroyuki Tajima (田島裕之)

doi:10.1103/PhysRevA.108.043303

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Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces

Yixin Guo (郭一昕), Hiroyuki Tajima (田島裕之)

DOI 10.1103/PhysRevA.108.043303 · Physical Review A

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Abstract

We theoretically investigate three-body correlations on the top of a Fermi sea in one-dimensional spinless fermions with antisymmetrized two- and three-body attractive interactions. By investigating the variational problem of three-body states above the Fermi sea, we illuminate the fate of the in-medium three-body cluster states (namely, Cooper triples in the presence of Fermi sea) in the special case with pure attractive three-body interaction as well as in the case with the coexistence of two- and three-body interactions. Our results testify that the fermion-dimer repulsion is canceled by including the three-body interactions, and stable three-body clusters can be formed. We further feature a phase diagram consisting of the p-wave Cooper pairing and Cooper tripling phases in a plane of p-wave two- and three-body coupling strengths.