Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

10 pages, 8 figures

Scientific paper

10.1103/PhysRevB.77.085312

We present an analysis of the effect of dephasing on the single channel charge relaxation resistance of a mesoscopic capacitor in the linear low frequency regime. The capacitor consists of a cavity which is via a quantum point contact connected to an electron reservoir and Coulomb coupled to a gate. The capacitor is in a perpendicular high magnetic field such that only one (spin polarized) edge state is (partially) transmitted through the contact. In the coherent limit the charge relaxation resistance for a single channel contact is independent of the transmission probability of the contact and given by half a resistance quantum. The loss of coherence in the conductor is modeled by attaching to it a fictitious probe, which draws no net current. In the incoherent limit one could expect a charge relaxation resistance that is inversely proportional to the transmission probability of the quantum point contact. However, such a two terminal result requires that scattering is between two electron reservoirs which provide full inelastic relaxation. We find that dephasing of a single edge state in the cavity is not sufficient to generate an interface resistance. As a consequence the charge relaxation resistance is given by the sum of one constant interface resistance and the (original) Landauer resistance. The same result is obtained in the high temperature regime due to energy averaging over many occupied states in the cavity. Only for a large number of open dephasing channels, describing spatially homogenous dephasing in the cavity, do we recover the two terminal resistance, which is inversely proportional to the transmission probability of the QPC. We compare different dephasing models and discuss the relation of our results to a recent experiment.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-626318

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.