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Introduction to the Physics of the Quantum Hall Regime

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arxiv cond-mat/9410047 v1 pith:BJSSZWIJ submitted 1994-10-14 cond-mat

classification cond-mat
keywords quantumhalleffectphysicsextremeinteractionlimitattempt
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These lecture notes attempt to explain the main ideas of the theory of the quantum Hall effect. The emphasis is on the localization and interaction physics in the extreme quantum limit which gives rise to the quantum Hall effect. The interaction physics in the extreme quantum limit which is responsible for the fractional quantum Hall effect is discussed at length and from an elementary point of view.

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Cited by 2 Pith papers

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  1. Valley Order in Moir\'e Topological Insulators

    cond-mat.mes-hall 2025-09 conditional novelty 5.0 of 10

    At filling ν=1, intervalley-coherent states in opposite-Chern Landau level models are ground states only for reduced intravalley interactions, and their gapless spin mode rules them out as the sole explanation of the ...

  2. Ideal Quantum Geometry for Fractional Chern Insulators

    cond-mat.str-el 2026-06 unverdicted novelty 2.0 of 10

    A survey of ideal Bloch bands saturating quantum geometric bounds and their link to the lowest Landau level for fractionalized phases.

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