Fractional quantum Hall effect, Jain’s rule, and topological textures

  • S. V. Iordanski
Condensed Matter


It is demonstrated that Jain’s rule for determining fractions in the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility of existence is considered for topologically nontrivial many-electron wave functions, whose group classification gives an indication of special values of electron density in the ground states separated by a gap from excited energies.

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© MAIK "Nauka/Interperiodica" 2003

Authors and Affiliations

  • S. V. Iordanski
    • 1
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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