Wilson's numerical technique (1974, 1975) has been used to study the effects of including an extra potential term in the Kondo Hamiltonian and the effects of using and s-d exchange matrix which lacks particle-hole symmetry. It is found that these generalised Kondo Hamiltonians have universal properties. They can all be mapped into a canonical form for the Kondo Hamiltonian, one which possesses a particle-hole symmetry, provided that the operators in this canonical form now create and destroy one-electron basis states that have a phase-shift with respect to the original ones. The underlying physical reason for this universality is that the field theory belonging to the Kondo Hamiltonian is renormalisable.
We study the coherent properties of fully screened and overscreened Kondo effects based on the Nozieres local Fermi-liquid theory and Affleck-Ludwig boundary conformal-field-theory approach, respectively. Coherent transports through an
SU(N) generalization of fully screened and the multi-
K-channel overscreened Kondo impurities at and beyond the particle-hole (PH) symmetric point are thoroughly investigated. We report distinctive Fermi-liquid coefficients characterizing the finite temperature correction to the transmission phase shift and normalized visibility in fully screened Kondo regime, which can be measured with the existing experimental setups. Our work equally uncovers the significance of temperature correction to the transmission phase shift and visibility in non-Fermi-liquid regime associated with the PH asymmetric overscreened Kondo effects with an arbitrary number of conduction channels
K. We propose viable roots of verifying our predictions in connection to the recent experiments, in particular with the experiments studying highly symmetric forms of fully screened Kondo effects and two-channel overscreened Kondo effects realized in quantum dot nanostructures.