Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe

Abstract

We show that the transport integrals of the two-site charge Kondo circuits connecting various multi-channel Kondo simulators satisfy the generalized Wiedemann-Franz law with the universal Lorenz ratios all greater than one. The magic Lorenz ratios are directly related to the Anderson's orthogonality catastrophe in quantum simulators providing some additional universal measure for the strong electron-electron correlations. We present a full fledged theory for the magic Lorenz ratios and discuss possible routes for the experimental verifications of the theory.