Using the method first employed by Efimov for three bosons in three dimensions, we have found that the pathological condition discovered by him does not occur in two dimensions.Received 17 March 1980DOI:https://doi.org/10.1103/PhysRevB.22.1467©1980 American Physical Society

Physical review. B, Condensed matterAug 1, 198024 citations

arXiv:1104.2387 · Few-Body Systems

Liberating Efimov Physics from Three Dimensions

Yusuke Nishida, Shina Tan

Published Jul 18, 2011• 50 citations

arXiv HTML PDF

DOI: 10.1007/s00601-011-0243-8

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\infty

. By a renormalization-group analysis, we also show that a weak two-body interaction sustains the semisuper-Efimov effect. Finally, we liberate the universality of the semisuper-Efimov effect from 2D by showing that bosons with linear-dispersion relation support the semisuper-Efimov effect in 1D.

A Fermi-Fermi mixture of

^{40}\text{K}

and

^{6}\text{L}\text{i}

does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only

^{40}\text{K}

in one dimension. Here the Efimov's three-body parameter is controlled by the confinement length. We show that the three-body recombination rate in such a system in the dilute limit has a characteristic logarithmic-periodic dependence on the effective scattering length with the scaling factor 22.0 and can be expressed by formulas similar to those for identical bosons in three dimensions. The ultracold mixture of

^{40}\text{K}

and

^{6}\text{L}\text{i}

in the one-dimensional--three-dimensional mixed dimensions is thus a promising candidate to observe the Efimov physics in fermions.