Coulomb interactions and effective quantum inertia of charge carriers in a macroscopic conductor
arXiv:2008.10909 · doi:10.1103/PhysRevB.104.L121301
Abstract
We study the low frequency admittance of a quantum Hall bar of size much larger than the electronic coherence length. We find that this macroscopic conductor behaves as an ideal quantum conductor with vanishing longitudinal resistance and purely inductive behavior up to f<1MHz. Using several measurement configurations, we study the dependence of this inductance on the length of the edge channel and on the integer quantum Hall filling fraction. The experimental data are well described by a scattering model for edge magnetoplasmons taking into account effective long range Coulomb interactions within the sample. This demonstrates that the inductance's dependence on the filling fraction arises from the effective quantum inertia of charge carriers induced by Coulomb interactions within an ungated macroscopic quantum Hall bar.
4 pages article with 4 figures, submitted to Physical Review B Letters, concatenated with 12 pages supplementary information (having 15 figures) in a 17 pages article with concantenated bibliography
References in corpus (5)
- Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
- The relaxation time of a chiral quantum R-L circuit
- Observation of inter-edge magnetoplasmon mode in a degenerate two-dimensional electron gas
- Real-space imaging of quantum Hall effect edge strips
- Charge Fractionalization in Artificial Tomonaga-Luttinger Liquids with Controlled Interaction Strength