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The Quantum Hall Effects

  • Allan H. MacDonald
Part of the NATO ASI Series book series (NSSB, volume 254)

Abstract

The quantum Hall effect [1] occurs in two-dimensional electronic systems (2 DES) [2] in strong perpendicular magnetic fields. It differs from many of the phenomena which are being discussed at this ASI in that it does not depend directly on quantum coherence for its occurrence. Quantum coherence plays an important supporting role rather that a starring role in this drama. At low temperatures and strong magnetic fields the magnetoresistance of two-dimensional (2D) metals becomes extremely small and the Hall resistance nearly constant over certain ranges of carrier density and magnetic field strength. Although this effect seemed quite mysterious at the time of its discovery, the principle elements of the physics which is responsible are now understood. In these notes I hope to explain these elements and to point out some aspects of our current theoretical picture of the phenomenon which seem to be incomplete.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Allan H. MacDonald
    • 1
  1. 1.Department of PhysicsIndiana UniversityBloomingtonUSA

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