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arXiv · hep-th/0303143

A Matrix Model for Fractional Quantum Hall States

A. Jellal·E. H. Saidi·H. B. Geyer·R. A. Roemer
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Abstract

We have developed a matrix model for FQH states at filling factor ν_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite number N=(N_{1}+N_{2}) of electrons with filling factor ν_{k_{1}k_{2}} = ν_{p_{1}p_{2}}=\frac{p_{2}}{p_{1}p_{2}-1}; p_{1} is an odd integer and p_{2} is an even integer. The ν_{p_{1}p_{2}} series corresponds just to the level two of the Haldane hierarchy; it recovers the Laughlin series ν_{p_{1}} =\frac{1}{p_{1}} by going to the limit p_{2} large and contains several observable FQH states such as ν= 2/3, 2/5, >....

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A. Jellal, E. H. Saidi, H. B. Geyer, R. A. Roemer. 2003-03-16. A Matrix Model for Fractional Quantum Hall States. https://doi.org/10.1143/jpsjs.72sa.127

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