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Phys Rev Lett. 2013 Jun 7;110(23):235301. Epub 2013 Jun 4.

Super Efimov effect of resonantly interacting fermions in two dimensions.

Author information

1
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
2
Department of Physics, University of Washington, Seattle, Washington 98195, USA.
3
Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA.

Abstract

We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum ℓ=±1 and their binding energies obey a universal doubly exponential scaling E(3)((n))∝exp(-2e(3πn/4+θ)) at large n. This "super Efimov effect" is found by a renormalization group analysis and confirmed by solving the bound state problem. We also provide an indication that there are ℓ=±2 four-body resonances associated with every three-body bound state at E(4)((n))∝exp(-2e(3πn/4+θ-0.188)). These universal few-body states may be observed in ultracold atom experiments and should be taken into account in future many-body studies of the system.

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