Scientific article
Open access

Relaxation time of a chiral quantum R-L circuit

Published inPhysical review letters, vol. 98, 166806
Publication date2007

We report on the GHz complex admittance of a chiral one dimensional ballistic conductor formed by edge states in the quantum Hall regime. The circuit consists of a wide Hall bar (the inductor L) in series with a tunable resistor (R) formed by a quantum point contact. Electron interactions between edges are screened by a pair of side gates. Conductance steps are observed on both real and imaginary parts of the admittance. Remarkably, the phase of the admittance is transmission-independent. This shows that the relaxation time of a chiral R-L circuit is resistance independent. A current and charge conserving scattering theory is presented that accounts for this observation with a relaxation time given by the electronic transit time in the circuit.

  • Carrier relaxation time
  • Conductors (electric)
  • Inductors
  • Quantum Hall effect
  • Quantum point contacts
  • Resistors
  • RLC circuits
Citation (ISO format)
GABELLI, Julien et al. Relaxation time of a chiral quantum R-L circuit. In: Physical review letters, 2007, vol. 98, p. 166806. doi: 10.1103/PhysRevLett.98.166806
Main files (1)
ISSN of the journal0031-9007

Technical informations

Creation11/30/2009 3:07:10 PM
First validation11/30/2009 3:07:10 PM
Update time03/14/2023 3:18:02 PM
Status update03/14/2023 3:18:02 PM
Last indexation02/12/2024 6:15:22 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack