Quantitative study of large composite-fermion systems

Jainendra K. Jain, R. Kamilla

Research output: Contribution to journalArticle

145 Citations (Scopus)

Abstract

Quantitative investigations of the fractional quantum Hall effect (FQHE) have been limited in the past to systems containing typically fewer than 10-12 particles, except for the 1/(2p+1) Laughlin states. We develop a method, using the framework of the composite-fermion theory, that enables a treatment of much bigger systems and makes it possible to obtain accurate quantitative information for other incompressible states as well. After establishing the validity of this method by comparison with few-particle exact-diagonalization results, we compute the ground-state energies and transport gaps for a number of FQHE states.

Original languageEnglish (US)
Pages (from-to)R4895-R4898
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number8
DOIs
StatePublished - Jan 1 1997

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

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Quantitative study of large composite-fermion systems. / Jain, Jainendra K.; Kamilla, R.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 55, No. 8, 01.01.1997, p. R4895-R4898.

Research output: Contribution to journalArticle

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