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We study the coherent properties of fully screened and overscreened Kondoeffects based on the Nozieres local Fermi-liquid theory and Affleck-Ludwigboundary conformal-field-theory approach, respectively. Coherent transportsthrough an SU($N)$ generalization of fully screened and themulti-$\mathcal{K}$-channel overscreened Kondo impurities at and beyond theparticle-hole (PH) symmetric point are thoroughly investigated. We reportdistinctive Fermi-liquid coefficients characterizing the finite temperaturecorrection to the transmission phase shift and normalized visibility in fullyscreened Kondo regime, which can be measured with the existing experimentalsetups. Our work equally uncovers the significance of temperature correction tothe transmission phase shift and visibility in non Fermi-liquid regimeassociated with the PH asymmetric overscreened Kondo effects with an arbitrarynumber of conduction channels $\mathcal{K}$. We propose viable roots ofverifying our predictions in connection to the recent experiments, inparticular with the experiments studying highly symmetric forms of fullyscreened Kondo effects and two-channel overscreened Kondo effects realized inquantum dot nano-structures.

Transmission phase evolution in fully screened and overscreened Kondo impurities