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

Abstract

By developing the mean-field theory valid for large $N$, we investigate the problem of two light fermions interacting via a zero-range potential with $N$ heavy fermions in two dimensions. We obtain numerical evidence that this system is never fully bound. It always splits into droplets containing a single light atom. This is in contrast to the one-dimensional case where any number of heavy and light fermions can be bound together.

11 pages, 1 figure

References in corpus (5)

• Low-energy three-body dynamics in binary quantum gases
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Binding of heavy fermions by a single light atom in one dimension
• Universal tetramer and pentamer in two-dimensional fermionic mixtures
• Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction