title: Super Efimov effect of resonantly interacting fermions in two dimensions.
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.
authors.affiliation: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: Yusuke
authors.initials: Y
authors.lastname: Nishida
authors.affiliation: Department of Physics, University of Washington, Seattle, Washington 98195, USA.
authors.forename: Sergej
authors.initials: S
authors.lastname: Moroz
authors.affiliation: Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA.
authors.forename: Dam Thanh
authors.initials: DT
authors.lastname: Son