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

M. I. Dyakonov

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arXiv · cond-mat/0209206

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

M. I. Dyakonov

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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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M. I. Dyakonov. 2002-09-09. Twenty years since the discovery of the Fractional Quantum Hall Effect: current state of the theory. https://arxiv.org/abs/cond-mat/0209206

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