Study of scaling in the fractional quantum hall effect

X. C. Xie, D. Z. Liu, J. K. Jain

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties of a single fermion in two dimensions, moving in the presence of both static potential and static magnetic flux disorders, but with a non-zero average magnetic field. It is found that the exponent characterizing the divergence of the localization length is not changed upon the addition of the flux disorder, provided it is not too large.

Original languageEnglish (US)
Pages (from-to)801-808
Number of pages8
JournalModern Physics Letters B
Volume10
Issue number17
DOIs
StatePublished - Jul 20 1996

Fingerprint

quantum Hall effect
disorders
scaling
fermions
magnetic flux
composite materials
divergence
exponents
magnetic fields

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this

Xie, X. C. ; Liu, D. Z. ; Jain, J. K. / Study of scaling in the fractional quantum hall effect. In: Modern Physics Letters B. 1996 ; Vol. 10, No. 17. pp. 801-808.
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Study of scaling in the fractional quantum hall effect. / Xie, X. C.; Liu, D. Z.; Jain, J. K.

In: Modern Physics Letters B, Vol. 10, No. 17, 20.07.1996, p. 801-808.

Research output: Contribution to journalArticle

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