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Low-lying excitations of Quantum Hall Droplets

J. H. Oaknin·L. Martin-Moreno·J. J. Palacios·C. Tejedor
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Abstract

We present the adequate circular representation of charge density excitations in Quantum Hall droplets at filling factor 1. A novel set of operators describes magnetoexcitons with well defined both total and center-of-mass angular momentum. The accuracy of this description is shown by the high overlap of the magnetoexcitons with the exact eigenstates of a quantum dot in a magnetic field obtained from numerical calculations up to 20 electrons. From such magnetoexcitons we get a good understanding of total energies and spectral functions.

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J. H. Oaknin, L. Martin-Moreno, J. J. Palacios, C. Tejedor. 1994-12-12. Low-lying excitations of Quantum Hall Droplets. https://doi.org/10.1103/physrevlett.74.5120

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