Fractional Quantum Hall Effect and vortex lattices

S. V. Iordanski

Published 2003-03-12, updated 2004-01-09Version 2

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 to have the special topologically nontrivial many-electron wave functions is considered. Their group classification indicate the special values of of electron density in the ground states separated by a gap from excited energies.