Fractional quantum Hall effect in the second Landau level: The importance of inter-composite-fermion interaction

Csaba Töke, Michael R. Peterson, Gun Sang Jeon, Jainendra K. Jain

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling-factor range in the second Landau level where the states significantly differ from those in the lowest Landau level. We show that the difference arises because the interaction between composite fermions is not negligible in higher Landau levels, as indicated by a substantial mixing between composite-fermion Landau-like levels, or Λ levels. We find that the exact ground state is well reproduced by composite-fermion theory with Λ-level mixing incorporated at the lowest level of approximation. Using the same variational approach in the spherical geometry we estimate the excitation gap at filling 1 3 in the second Landau level (which corresponds to 7 3 of experiment).

Original languageEnglish
Article number125315
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume72
Issue number12
DOIs
Publication statusPublished - Sep 15 2005

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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