1109.4602 (A. G. Volosniev et al.)

Few-body bound state stability of dipolar molecules in two dimensions    [PDF]

A. G. Volosniev, D. V. Fedorov, A. S. Jensen, N. T. Zinner

Bound structures among dipolar molecules in multilayers are a topic of great
interest in the light of recent experiments that have demonstrated the
feasibility of the setup. While it is known that two molecules in two adjacent
layers will always bind, larger complexes have only been scarcely addressed
thus far. Here we prove rigorously that three- and four-body states will never
be bound when the dipoles are oriented perpendicular to the layers. The
technique employed is general and can be used for more molecules/layers and
other geometries. Our analytical findings are supported by numerical
calculations for both fermionic and bosonic molecules. Furthermore, we
calculate the reduction in intralayer repulsion necessary to bind large
complexes and estimate the influence of bound complexes in systems with many
layers.

View original: http://arxiv.org/abs/1109.4602