Erratum: Coqblin-Schrieffer model for an ultracold gas of ytterbium atoms with metastable state [Phys. Rev. B 93, 115143 (2016)]

In our paper, calculation of exchange interaction is carried out for two itinerant atoms ${}^{173}\mathrm{Yb}\left({}^{1}S_0\right)$ and ${}^{173}\mathrm{Yb}\left({}^{3}P_0\right)$. The fact that the exchange interaction is modified when the ${}^{173}\mathrm{Yb}({}^3{P}_0)$ atom is localized in an optical potential was overlooked. This flaw is corrected in this Erratum, and the claim that the exchange constant is antiferromagnetic (a necessary condition for achieving the Kondo effect) is established.

Figure 1

$a_S$ (the blue curve) and $a_T$ (the red curve) calculated numerically as functions of $b_{\mathrm{e}}$. The arrows show the intervals of $b_{\mathrm{e}}$ wherein $a_T>a_S$ and the exchange interaction turns from being ferromagnetic to be antiferromagnetic.

Figure 2

Kondo temperature (27) as a function of $b_{\mathrm{e}}$ for $D_0=T_F=T_{\mathrm{e}}$ and $b_{\mathrm{e}}$ belonging to (a) the interval (24) and (b) the interval (25).