Dimensional Crossover of the Dephasing Time in Disordered Mesoscopic Rings

Details Dimensional Crossover of the Dephasing Time in Disordered Mesoscopic Rings Dimensional Crossover of the Dephasing Time in Disordered Mesoscopic Rings

2009-05-08

arxiv.org/abs/0905.1213v3

Phys. Rev. B 80, 201305(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 3 figures; added minor clarifications of 0D regime and a discussion of Coulomb blockade; added references to recent

Scientific paper

10.1103/PhysRevB.80.201305

We study dephasing by electron interactions in a small disordered quasi-one dimensional (1D) ring weakly coupled to leads. We use an influence functional for quantum Nyquist noise to describe the crossover for the dephasing time $\Tph (T)$ from diffusive or ergodic 1D ($ \Tph^{-1} \propto T^{2/3}, T^{1}$) to 0D behavior ($\Tph^{-1} \propto T^{2}$) as $T$ drops below the Thouless energy. The crossover to 0D, predicted earlier for 2D and 3D systems, has so far eluded experimental observation. The ring geometry holds promise of meeting this longstanding challenge, since the crossover manifests itself not only in the smooth part of the magnetoconductivity but also in the amplitude of Altshuler-Aronov-Spivak oscillations. This allows signatures of dephasing in the ring to be cleanly extracted by filtering out those of the leads.

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