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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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15 pages, 3 figures. Talk at NATO ARW "Recent trends in theory of physical phenomena in high magnetic fields

Scientific paper

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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