States of interacting composite fermions at the Landau level filling ν=2+3/8

Csaba Toke, Chuntai Shi, Jainendra K. Jain

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

There is increasing experimental evidence for fractional quantum Hall effect at filling factor ν=2+3/8. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our variational study, we consider the Fermi sea, the Pfaffian paired state, and bubble and stripe phases of composite fermions, and find that the Fermi sea state is favored for a wide range of transverse thickness. However, when we incorporate interactions between composite fermions through composite-fermion diagonalization on systems with up to 25 composite fermions, we find that a gap opens at the Fermi level, suggesting that inter-composite fermion interaction can induce fractional quantum Hall effect at ν=2+3/8. The resulting state is seen to be distinct from the Pfaffian wave function.

Original languageEnglish (US)
Article number245305
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number24
DOIs
StatePublished - Jun 5 2008

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Fermions
fermions
composite materials
Composite materials
Quantum Hall effect
quantum Hall effect
sea states
Wave functions
Fermi level
bubbles
interactions
wave functions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "There is increasing experimental evidence for fractional quantum Hall effect at filling factor ν=2+3/8. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our variational study, we consider the Fermi sea, the Pfaffian paired state, and bubble and stripe phases of composite fermions, and find that the Fermi sea state is favored for a wide range of transverse thickness. However, when we incorporate interactions between composite fermions through composite-fermion diagonalization on systems with up to 25 composite fermions, we find that a gap opens at the Fermi level, suggesting that inter-composite fermion interaction can induce fractional quantum Hall effect at ν=2+3/8. The resulting state is seen to be distinct from the Pfaffian wave function.",
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States of interacting composite fermions at the Landau level filling ν=2+3/8. / Toke, Csaba; Shi, Chuntai; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 77, No. 24, 245305, 05.06.2008.

Research output: Contribution to journalArticle

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