Advertisement

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

  • S. V. Iordanski
Condensed Matter

Abstract

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.

PACS numbers

73.43.Cd 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    The Quantum Hall Effect, Ed. by R. Prange and S. M. Girvin (Springer, New York, 1987; Mir, Moscow, 1989).Google Scholar
  2. 2.
    New Perspectives in Quantum Hall Effects, Ed. by S. Das Sarma and A. Pinozuk (Wiley, 1997).Google Scholar
  3. 3.
    R. B. Laughlin, Phys. Rev. B 23, 5632 (1981).CrossRefADSGoogle Scholar
  4. 4.
    R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).CrossRefADSGoogle Scholar
  5. 5.
    J. K. Jain, Phys. Rev. Lett. 63, 199 (1989).CrossRefADSGoogle Scholar
  6. 6.
    J. K. Jain, Phys. Rev. B 41, 7653 (1990).CrossRefADSGoogle Scholar
  7. 7.
    B. I. Halperin, P. A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993).CrossRefADSGoogle Scholar
  8. 8.
    S. Sondhi, A. Kahlrede, S. Kivelson, and E. Rezayi, Phys. Rev. B 47, 16419 (1993).Google Scholar
  9. 9.
    K. Moon, N. Mori, Kun Yung, et al., Phys. Rev. B 51, 5138 (1995).CrossRefADSGoogle Scholar
  10. 10.
    S. V. Iordanskii and S. G. Plyasunov, Pis’ma Zh. Éksp. Teor. Fiz. 65, 248 (1997) [JETP Lett. 65, 259 (1997)].Google Scholar
  11. 11.
    S. V. Iordanskii, S. G. Plyasunov, and I. V. Fal’ko, Zh. Éksp. Teor. Fiz. 115, 716 (1999) [JETP 88, 392 (1999)].Google Scholar
  12. 12.
    S. V. Iordanskii and A. B. Kashuba, cond-mat/0211214; Phys. Rev. B (2003) (in press).Google Scholar
  13. 13.
    E. M. Lifshitz and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1978; Pergamon, New York, 1980), Part 2.Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2003

Authors and Affiliations

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

Personalised recommendations