Charge relaxation resistance in the Coulomb blockade problem

Details Charge relaxation resistance in the Coulomb blockade problem Charge relaxation resistance in the Coulomb blockade problem

2009-05-16

arxiv.org/abs/0905.2688v1

Phys. Rev. B 80, 035332 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

21 pages, 12 figures

Scientific paper

We study the dissipation in a system consisting of a small metallic island coupled to a gate electrode and to a massive reservoir via single tunneling junction. The dissipation of energy is caused by a slowly oscillating gate voltage. We compute it in the regimes of weak and strong Coulomb blockade. We focus on the regime of not very low temperatures when electron coherence can be neglected but quantum fluctuations of charge are strong due to Coulomb interaction. The answers assume a particularly transparent form while expressed in terms of specially chosen physical observables. We discovered that the dissipation rate is given by a universal expression in both limiting cases.

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