Coulomb blockade for tunneling through a long island
We consider Coulomb blockade effects for tunneling through a piece of wire with large resistance R≫1. This system can not be treated as a zero-dimensional one, as the dynamics of internal inhomogeneous degrees of freedom is crucial. At moderately high temperatures the linear conductance G of the system is suppressed due to the one-dimensional Coulomb zero bias anomaly effect. At low T, besides the standard activational factor, there is an additional T-independent (though also exponentially strong) suppression of G. It arises due to the tunneling evolution of the charge in the wire to the equivipotential distribution. In the intermediate range of T the G(T) dependence is a power law, as in the phenomenological environmental theory. The effective “environmental resistance” entering the power exponent is found explicitly. It depends on the length of the wire and on the positions of the contacts.