Study of scaling in the fractional quantum hall effect

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

doi:10.1142/S0217984996000900

Study of scaling in the fractional quantum hall effect

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

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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 language	English (US)
Pages (from-to)	801-808
Number of pages	8
Journal	Modern Physics Letters B
Volume	10
Issue number	17
DOIs	https://doi.org/10.1142/S0217984996000900
State	Published - Jul 20 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Condensed Matter Physics

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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.",

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N2 - 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.

AB - 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.

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Study of scaling in the fractional quantum hall effect

Abstract

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