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arXiv · cond-mat/9803178

Composite particles in the Theory of Quantum Hall Effect

T. Asselmeyer·R. Keiper
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Abstract

The formation of composite particles in the electron liquid under QHE conditions discussed by Jain in generalizing Laughlins many-particle state is considered by using a model for two-dimensional guiding center configurations. Describing the self-consistent field of electron repulsion by a negative parabolic potential on effective centers and an inter-center amount we show that with increasing magnetic field the ground state of so-called primary composite particles $ν=\frac{1}{q}$, $q=1,3,5,... $, is given for higher negative quantum numbers of the total angular momentum. By clustering of primary composite particles due to absorption or emission of flux quanta we explain phenomenologically the quasi-particle structure behind the series of relevant filling factors $ν=\frac{p}{q}$, $p=1,2,3,...$. Our considerations show that the complicate interplay of electron-magnetic field and electron-electron interactions in QHE systems may be understood in terms of adding flux quanta $Φ_0$ to charges $e$ and binding of charges by flux quanta.

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T. Asselmeyer, R. Keiper. 1998-03-13. Composite particles in the Theory of Quantum Hall Effect. https://doi.org/10.1002/(sici)1521-3951(199906)213%3A2%3C365%3A%3Aaid-pssb365%3E3.0.co%3B2-g

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