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Super Efimov Effect of Resonantly Interacting Fermions in Two Dimensions

Yusuke Nishida, Sergej Moroz, and Dam Thanh Son
Phys. Rev. Lett. 110, 235301 – Published 4 June 2013

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 =±1 and their binding energies obey a universal doubly exponential scaling E3(n)exp(2e3πn/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 =±2 four-body resonances associated with every three-body bound state at E4(n)exp(2e3πn/4+θ0.188). 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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  • Received 18 January 2013

DOI:https://doi.org/10.1103/PhysRevLett.110.235301

© 2013 American Physical Society

Authors & Affiliations

Yusuke Nishida1, Sergej Moroz2, and Dam Thanh Son3

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

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Issue

Vol. 110, Iss. 23 — 7 June 2013

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