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Combining ab initio calculations and effective models derived from them, wediscuss the electronic structure of oxygen doped gold chains when one Au atomis replaced by any transition-metal atom of the $3d$ series. The effect of Odoping is to bring extended Au $5d_{xz}$ and $5d_{yz}$ states to the Fermilevel, which together with the Au states of zero angular momentum projection,lead to three possible channels for the screening of the magnetism of theimpurity. For most 3d impurities the expected physics is similar to that of theunderscreened Kondo model, with singular Fermi liquid behavior. For Fe and Counder a tetragonal crystal field introduced by leads, the system might displaya non-Fermi liquid behavior. Ni and Cu impurities are described by a $S = 1$two channel Kondo model and an SU(4) impurity Anderson model in theintermediate valence regime, respectively. In both cases, the system is a Fermiliquid, but the conductance shows some observable differences with the ordinarySU(2) Anderson model.

Kondo behavior and conductance through $3d$ impurities in gold chains doped with oxygen