Universal Singularities in the Integral Quantum Hall Effect
- 12 September 1988
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 61 (11), 1297-1300
- https://doi.org/10.1103/physrevlett.61.1297
Abstract
The transition between localized and extended eigenstates in the integral quantum Hall regime is observable as a scaling phenomenon in the magnetoresistance tensor as a function of temperature and applied magnetic field strength. Field-theoretic studies on the quantum Hall effect are used to derive the scaling functions. The scaling behavior is shown to involve only a single critical exponent () which is the ratio between the inelastic-scattering exponent () and twice the localization length exponent (). The results have recently been confirmed experimentally.
Keywords
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