Rings and Coulomb boxes in dissipative environments
arXiv:1207.2559 · doi:10.1103/PhysRevB.86.235406
Abstract
We study a particle on a ring in presence of a dissipative Caldeira-Leggett environment and derive its response to a DC field. We show how this non-equilibrium response is related to a flux averaged equilibrium response. We find, through a 2-loop renormalization group analysis, that a large dissipation parameter ηflows to a fixed point η^R=\hbar/2π. We also reexamine the mapping of this problem to that of the Coulomb box and show that the relaxation resistance, of recent interest, is quantized for large η. For finite η>η^R we find that a certain average of the relaxation resistance is quantized. We propose a Coulomb box experiment to measure a quantized noise.
23 pages, 4 figures. Appendix E has been added, some detailed definitions and references were added
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