Possible persistence of fractional quantum Hall effect down to ultralow fillings

Michael Peterson, Jainendra K. Jain

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A recent theoretical study indicating that the fractional quantum Hall liquid is the ground state at ν=1/9 is inconsistent with an excitonic instability of the fractional quantum Hall liquid found earlier at the same filling factor. This paper shows that, when the calculation is improved perturbatively, by allowing mixing between composite fermion Landau levels, the instability disappears. In fact, no instability occurs in our theory for filling factors as low as ν=1/31, suggesting that the fractional quantum Hall effect may be robust down to much smaller filling factors than presently believed.

Original languageEnglish (US)
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume68
Issue number19
DOIs
StatePublished - Nov 14 2003

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Quantum Hall effect
quantum Hall effect
Fermions
Liquids
liquids
Ground state
fermions
composite materials
ground state
Composite materials

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Possible persistence of fractional quantum Hall effect down to ultralow fillings. / Peterson, Michael; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 68, No. 19, 14.11.2003.

Research output: Contribution to journalArticle

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AU - Jain, Jainendra K.

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AB - A recent theoretical study indicating that the fractional quantum Hall liquid is the ground state at ν=1/9 is inconsistent with an excitonic instability of the fractional quantum Hall liquid found earlier at the same filling factor. This paper shows that, when the calculation is improved perturbatively, by allowing mixing between composite fermion Landau levels, the instability disappears. In fact, no instability occurs in our theory for filling factors as low as ν=1/31, suggesting that the fractional quantum Hall effect may be robust down to much smaller filling factors than presently believed.

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