Abstract
It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing, Dorda, and Pepper and by Tsui and Gossard is a consequence of gauge invariance and the existence of a mobility gap. Edge effects are shown to have no influence on the accuracy of quantization. An estimate of the error based on thermal activation of carriers to the mobility edge is suggested.
Keywords
Quantization (signal processing)Hall conductivityPhysicsCondensed matter physicsHall effectQuantum Hall effectThermal Hall effectEnhanced Data Rates for GSM EvolutionConductivityGauge theoryElectrical resistivity and conductivityElectronQuantum mechanicsMathematicsComputer scienceStatistics
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Publication Info
- Year
- 1981
- Type
- article
- Volume
- 23
- Issue
- 10
- Pages
- 5632-5633
- Citations
- 2414
- Access
- Closed
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Cite This
R. B. Laughlin
(1981).
Quantized Hall conductivity in two dimensions.
Physical review. B, Condensed matter
, 23
(10)
, 5632-5633.
https://doi.org/10.1103/physrevb.23.5632
Identifiers
- DOI
- 10.1103/physrevb.23.5632