Role of coherence in resistance quantization

Details Role of coherence in resistance quantization Role of coherence in resistance quantization

2008-06-11

arxiv.org/abs/0806.1821v1

Eur. Phys. J. Special Topics 172, 247 - 255 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 5 figures

Scientific paper

10.1140/epjst/e2009-01052-4

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.

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