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=\pm1 and their binding energies obey a universal doubly exponential scaling E_3^{(n)}\propto\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=\pm2 four-body resonances associated with every three-body bound state at E_4^{(n)}\propto\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.

5 pages; published version

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Strongly-resonant p-wave superfluids
• Efimov effect from functional renormalization
• Impossibility of the Efimov effect for p-wave interactions
• Renormalization group analysis of resonantly interacting anyons

Cited by in corpus (62)

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• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
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• Experimental Determination of p-wave Scattering Parameters in ultracold 6Li atoms
• Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
• Proof of the Super Efimov Effect
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• Borromean ground state of fermions in two dimensions
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Efimov correlations in strongly interacting Bose gases
• Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Semisuper Efimov effect of two-dimensional bosons at a three-body resonance
• Revealing the origin of super-Efimov states in the hyperspherical formalism
• Super Efimov effect for mass-imbalanced systems
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Universal physics of bound states of a few charged particles
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
• Three-body forces and Efimov physics in nuclei and atoms
• Ferromagnetism and Borromean binding in three-fermion clusters
• Universality in a one-dimensional three-body system
• Dynamic Super Efimov Effect
• Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations
• Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
• Observation of Dynamical Super Efimovian Expansion in a Unitary Fermi Gas
• Time fractals and discrete scale invariance with trapped ions
• Stability against three-body clustering in one-dimensional spinless p-wave fermions
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• New nonperturbative scales and glueballs in confining supersymmetric gauge theories
• Universality of excited three-body bound states in one dimension
• Oscillatory-like Expansion of a Fermionic Superfluid
• Universal behaviour of four-boson systems from a functional renormalisation group
• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• Three-body bound states of two bosons and one impurity in one dimension
• Four-boson bound states from a functional renormalisation group
• Scattering Hypervolume of Fermions in Two Dimensions
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Three-Boson Bound States in Two Dimensions
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• On the virtual level of two-body interactions and applications to three-body systems in higher dimensions
• Tricritical physics in two-dimensional $p$-wave superfluids
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
• Efimov Effect in Long-range Quantum Spin Chains
• Window for Efimov physics for few-body systems with finite-range interactions
• Universal Bound States in Long-range Spin Chains with an Impurity
• The Quantum Origins of Non-Topological Vortices
• Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of $N\ge 4$ particles
• Elastic collision rates of spin-polarized fermions in two dimensions
• Semisuper Efimov effect induced by resonant pair exchange in mixed dimensions
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• Relativistic Borromean States
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling