Theory of spin-singlet fractional quantum Hall effect at ν=1/2

L. Belkhir, Jainendra K. Jain

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Motivated by the observation of fractional quantum Hall effect (FQHE) at filling factor ν=2+1/2 by Willett et al., we investigate the nature of the spin-singlet FQHE at ν=1/2. We show that a simple trial wave function for the ν=1/2 state, proposed earlier by one of us, is the exact nondegenerate ground state of a hard-core interaction model, and provide numerical evidence that it is adiabatically connected to the true Coulomb ground state.

Original languageEnglish (US)
Pages (from-to)643-646
Number of pages4
JournalPhysical Review Letters
Volume70
Issue number5
DOIs
StatePublished - Jan 1 1993

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quantum Hall effect
ground state
wave functions
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "Motivated by the observation of fractional quantum Hall effect (FQHE) at filling factor ν=2+1/2 by Willett et al., we investigate the nature of the spin-singlet FQHE at ν=1/2. We show that a simple trial wave function for the ν=1/2 state, proposed earlier by one of us, is the exact nondegenerate ground state of a hard-core interaction model, and provide numerical evidence that it is adiabatically connected to the true Coulomb ground state.",
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Theory of spin-singlet fractional quantum Hall effect at ν=1/2. / Belkhir, L.; Jain, Jainendra K.

In: Physical Review Letters, Vol. 70, No. 5, 01.01.1993, p. 643-646.

Research output: Contribution to journalArticle

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AU - Jain, Jainendra K.

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N2 - Motivated by the observation of fractional quantum Hall effect (FQHE) at filling factor ν=2+1/2 by Willett et al., we investigate the nature of the spin-singlet FQHE at ν=1/2. We show that a simple trial wave function for the ν=1/2 state, proposed earlier by one of us, is the exact nondegenerate ground state of a hard-core interaction model, and provide numerical evidence that it is adiabatically connected to the true Coulomb ground state.

AB - Motivated by the observation of fractional quantum Hall effect (FQHE) at filling factor ν=2+1/2 by Willett et al., we investigate the nature of the spin-singlet FQHE at ν=1/2. We show that a simple trial wave function for the ν=1/2 state, proposed earlier by one of us, is the exact nondegenerate ground state of a hard-core interaction model, and provide numerical evidence that it is adiabatically connected to the true Coulomb ground state.

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