arXiv · cond-mat/0203410
Current oscillations in a metallic ring threaded by a time-dependent magnetic flux
Abstract
We study a mesoscopic metallic ring threaded by a magnetic flux which varies linearly in time PhiM(t)=Phi t with a formalism based in Baym-Kadanoff-Keldysh non-equilibrium Green functions. We propose a method to calculate the Green functions in real space and we consider an experimental setup to investigate the dynamics of the ring by recourse to a transport experiment. This consists in a single lead connecting the ring to a particle reservoir. We show that different dynamical regimes are attained depending on the ratio hbar Phi/Phi0 W, being Phi0=h c/e and W, the bandwidth of the ring. For moderate lengths of the ring, a stationary regime is achieved for hbar Phi/Phi0 >W. In the opposite case with hbar Phi/Phi0 < W, the effect of Bloch oscillations driven by the induced electric field manifests itself in the transport properties of the system. In particular, we show that in this time-dependent regime a tunneling current oscillating in time with a period tau=2piPhi0/Phi can be measured in the lead. We also analyze the resistive effect introduced by inelastic scattering due to the coupling to the external reservoir.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
L. Arrachea. 2002-03-20. Current oscillations in a metallic ring threaded by a time-dependent magnetic flux. https://doi.org/10.1103/physrevb.66.045315
Cite the original work for its findings. Save a collection to share your selection of sources.