Condensation of Cooper Triples

Abstract

The condensation of Cooper pairs, originating from the Fermi-surface instability due to a weakly attractive interaction between two fermions, opened a new frontier for exploring many-body physics in interdisciplinary contexts. In this work, we discuss the possible condensation of Cooper triples, which are three-body counterparts of Cooper pairs for three-component fermions with a three-body attraction. Although each composite trimer-like state obeys the Fermi-Dirac statistics, its aggregate can form a condensate at zero center-of-mass momentum in the presence of the internal degrees of freedom associated with the relative momenta of constituent particles of momenta close to the Fermi surface. Such condensation can be regarded as bosonization in infinite-component fermions. We propose a variational wave function for the condensate of Cooper triples in analogy with the Bardeen-Cooper-Schrieffer ground state and obtain the ground-state energy.

7 pages, 2 figure

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Cited by in corpus (7)

• Exact eigenstates of extended SU($N$) Hubbard models: Generalizations of $\eta$-pairing states with $N$-particle off-diagonal long-range order
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Cooper quartet correlations in infinite symmetric nuclear matter
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Possible condensation of Cooper triples