Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-16
J.Phys.Soc.Jap. 72 (2003) A127
Physics
High Energy Physics
High Energy Physics - Theory
to be published in the Proceedings (J. Phys. Soc. Japan) of Localisation 2002 Conference, Tokyo, Japan
Scientific paper
We have developed a matrix model for FQH states at filling factor \nu_{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 \nu_{k_{1}k_{2}} = \nu_{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 \nu_{p_{1}p_{2}} series corresponds just to the level two of the Haldane hierarchy; it recovers the Laughlin series \nu_{p_{1}} =\frac{1}{p_{1}} by going to the limit p_{2} large and contains several observable FQH states such as \nu = 2/3, 2/5, >....
Geyer Hendrik B.
Jellal Ahmed
Roemer Rudolf A.
Saidi El Hassan
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