Role of coherence in resistance quantization
arXiv:0806.1821 · doi:10.1140/epjst/e2009-01052-4
Abstract
The quantization of resistances in the quantum Hall effect and ballistic transport through quantum point contacts is compared with the quantization of the charge relaxation resistance of a coherent mesoscopic capacitor. While the former two require the existence of a perfectly transmitting channel, the charge relaxation resistance remains quantized for arbitrary backscattering. The quantum Hall effect and the quantum point contact require only local phase coherence. In contrast quantization of the charge relaxation resistance requires global phase coherence.
9 pages, 5 figures
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- Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
- The ampere and the electrical units in the quantum era
- Strongly correlated dynamics in multichannel quantum RC circuits
- Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
- Phase-Coherent Dynamics of Quantum Devices With Local Interactions