Two-dimensional scattering and bound states of polar molecules in bilayers

Abstract

Low-energy two-dimensional scattering is particularly sensitive to the existence and properties of weakly-bound states. We show that interaction potentials $V(r)$ with vanishing zero-momentum Born approximation $\int d^{2}rV(r)=0$ lead to an anomalously weak bound state which crucially modifies the two-dimensional scattering properties. This anomalous case is especially relevant in the context of polar molecules in bilayer arrangements.

4 pages, 3 figures

References in corpus (2)

• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Low-energy potential scattering in two and three dimensions

Cited by in corpus (2)

• Interlayer superfluidity in bilayer systems of fermionic polar molecules
• Model independence in two dimensions and polarized cold dipolar molecules