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HAIT Journal of Science and Engineering Volume 1, Issue 2, pp. 211-219 © 2004 Holon Academic Institute of Technology | ||||||
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Fractional quantum Hall effect and vortex latticesSergey V. Iordanski
L.D. Landau Institute for Theoretical Physics, | 2 Kosygin Str., Moscow 117334, Russia e-mail: iordansk@itp.ac.ru Received 19 October 2003, accepted 29 April 2004
| It is demonstrated that all observed fractions at moderate Landau level fillings in the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility of having special topologically nontrivial many-electron wave functions is considered. Their group classification indicates special values of the electron density in the ground states separated by a gap from excited states.
___________________ | Presented at Russian-Israeli Conference Frontiers in Condensed Matter Physics Shoresh, Israel, 19-24 October 2003 |