Coulomb blockade of a noisy metallic box: A realization of bose-fermi kondo models

The metallic quantum dot copuled to a reservoir of electrons, using a single mode point contact and capacitively connected to a back gate was discussed. The gate voltage exhibit noise when connected to a transmission line with a finite impedance. The Bose-Fermi spin model shows that metallic granule and a low transparency tunnel barrier at zero point fluctuation of transmission line alter the quantum tunneling of electrons at low energy. The quantum charges fluctuations necessitates the application of a strong inplane magnetic field which leads to transmission coefficient between the metal lead and grain.