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Twenty years since the discovery of the Fractional Quantum Hall Effect: current state of the theory

2002/09/09 by M. I. Dyakonov
Physics and Astronomy · #cond-mat.mes-hall #quant-ph

paper · pdf

published as In: Recent Trends in Theory of Physical Phenomena in High Magnetic Fields, I.D. Vagner et al (eds.), pp. 75-88, Kluwer Academic Publishers (2003). · 15 pages, 3 figures. Talk at NATO ARW "Recent trends in theory of physical phenomena in high magnetic fields

arxiv created 2002/09/09 · arxiv updated 2009/11/30

Abstract

The current state of the theory of the Fractional Quantum Hall Effect is critically analyzed, especially the generally accepted concept of composite fermions. It is argued that there is no sound theoretical foundation for this concept. A simple one-dimensional model is proposed, which presumably has an energy spectrum similar to that of the FQHE system.

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