Abstract
A non-perturbative calculation is performed for Coulomb blockade in a small tunnel junction, by use of the closed-time-path Green's function and Odintsov's polaron formulation. Self consistent forms for the current-voltage (I-V) characteristics, the damping function, the fluctuation function, and the non-equilibrium Bose distribution function, are presented. At T=0 and in the weak dissipation limit, analytic results are obtained. In particular, we demonstrate that the widely used ωic approximation (tunneling impedance Z(ω)=R T ) for the effect of dissipation on Coulomb blockade, is satisfactory in the range of R T∼R k to 10 R k ( R k=25.8kω ).
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