Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules

Abstract

We consider a bilayer setup with two parallel planes of cold fermionic polar molecules when the dipole moments are oriented perpendicular to the planes. The binding energy of two-body states with one polar molecule in each layer is determined and compared to various analytic approximation schemes in both coordinate- and momentum-space. The effective interaction of two bound dimers is obtained by integrating out the internal dimer bound state wave function and its robustness under analytical approximations is studied. Furthermore, we consider the effect of the background of other fermions on the dimer state through Pauli blocking, and discuss implications for the zero-temperature many-body phase diagram of this experimentally realizable system.

18 pages, 10 figures, accepted version

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• Mass-imbalanced Three-Body Systems in Two Dimensions
• Few-body bound state stability of dipolar molecules in two dimensions
• Bound states of Dipolar Bosons in One-dimensional Systems
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Few-body Physics in a Many-body World
• Occurrence conditions for two-dimensional Borromean systems
• Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
• Dipoles on a Two-leg Ladder
• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Contact parameters in two dimensions for general three-body systems
• Classical crystal formation of dipoles in two dimensions