Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction

Abstract

For sufficiently large mass ratios the attractive exchange force caused by a single light atom interacting with a few heavy identical fermions can overcome their Fermi degeneracy pressure and bind them into an $N+1$ cluster. Here, by using a mean-field approach valid for large $N$, we find that $N+1$ clusters can attract each other and form a self-bound charge density wave, the properties of which we fully characterize. Our work shows that there are no fundamental obstacles for having self-bound states in fermionic mixtures with zero-range interactions.

11 pages, 4 figures

References in corpus (12)

• Weakly bound dimers of fermionic atoms
• Low-energy three-body dynamics in binary quantum gases
• Diatomic molecules in ultracold Fermi gases - Novel composite bosons
• BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Collisional properties of weakly bound heteronuclear dimers
• Bound states in a quasi-two-dimensional Fermi gas
• The quest for light multineutron systems
• Fermi-Fermi Mixtures in the Strong Attraction Limit
• Dimer-dimer collisions at finite energies in two-component Fermi gases
• Binding of heavy fermions by a single light atom in one dimension
• Universal tetramer and pentamer in two-dimensional fermionic mixtures

Cited by in corpus (1)

• Absence of binding of heavy fermions by two light atoms in two dimensions