Super Efimov effect for mass-imbalanced systems

Abstract

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a properly constructed low-energy effective field theory with the renormalization group method. Consequently, a three-body system consisting of two particles of one species and one of the other is shown to exhibit the super Efimov effect, the emergence of an infinite tower of three-body bound states with orbital angular momentum $l=\pm 1$ whose binding energies obey a doubly exponential scaling, when the two particles are heavier than the other by a mass ratio greater than 4.03404 for identical bosons and 2.41421 for identical fermions. With increasing the mass ratio, the super Efimov spectrum becomes denser which would make its experimental observation easier. We also point out that the Born-Oppenheimer approximation is incapable of reproducing the super Efimov effect, the universal low-energy asymptotic scaling of the spectrum.

9 pages; published version

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Cited by in corpus (14)

• Efimov Physics: a review
• Universal few-body physics and cluster formation
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
• Semisuper Efimov effect of two-dimensional bosons at a three-body resonance
• Three-body forces and Efimov physics in nuclei and atoms
• Universality in a one-dimensional three-body system
• Dynamic Super Efimov Effect
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Window for Efimov physics for few-body systems with finite-range interactions
• Efimov Effect in Long-range Quantum Spin Chains
• Universal Bound States in Long-range Spin Chains with an Impurity
• Semisuper Efimov effect induced by resonant pair exchange in mixed dimensions