Hamiltonian theory of the strongly-coupled limit of the Kondo problem in the overscreened case

TL;DR

This paper develops a Hamiltonian framework for the overscreened Kondo problem, deriving scattering properties and conductance behavior at low temperatures, with implications for quantum dot transport experiments.

Contribution

It generalizes Nozieres' Fermi liquid theory to construct an Hamiltonian approach for the overscreened Kondo regime at zero temperature.

Findings

Derived the S-matrix and phase shifts at the fixed point

Calculated leading energy corrections to the unitary limit

Predicted low-temperature conductance behavior in quantum dots

Abstract

By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the interacting fixed point, and the corresponding phase shifts, together with leading energy corrections to the unitary limit. We apply our results to obtain the low-temperature dependence of the 2-channel Kondo conductance, and we relate it to possible transport experiments in a Quantum Dot