scholarly journals STUDY OF SCALING IN THE FRACTIONAL QUANTUM HALL EFFECT

1996 ◽  
Vol 10 (17) ◽  
pp. 801-808 ◽  
Author(s):  
X.C. XIE ◽  
D.Z. LIU ◽  
J.K. JAIN
Keyword(s):  
Magnetic Flux ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Localization Length ◽  
Two Dimensions ◽  
Fractional Quantum Hall Effect ◽  
Composite Fermions ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

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.

scholarly journals Fractional Quantum Hall Effect of Composite Fermions

2003 ◽  
Vol 90 (1) ◽  
Author(s):  
W. Pan ◽  
H. L. Stormer ◽  
D. C. Tsui ◽  
L. N. Pfeiffer ◽  
K. W. Baldwin ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Composite Fermions ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Fractional Quantum Hall Effect aroundν=32: Composite Fermions with a Spin

1995 ◽  
Vol 75 (21) ◽  
pp. 3926-3929 ◽  
Author(s):  
R. R. Du ◽  
A. S. Yeh ◽  
H. L. Stormer ◽  
D. C. Tsui ◽  
L. N. Pfeiffer ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Composite Fermions ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

Anyon Superconductivity and the Fractional Quantum-Hall Effect

1991 ◽  
Vol 05 (10) ◽  
pp. 1695-1713 ◽  
Author(s):  
Dung-Hai Lee
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Two Dimensions ◽  
Fractional Quantum Hall Effect ◽  
Electromagnetic Properties ◽  
Oxide Superconductors ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Copper Oxide Superconductors

I review the concept of statistics transmutation in two dimensions and apply it to the understanding of Fractional quantum-Hall effect and anyon superconductivity. A contrast of the electromagnetic properties of an ordinary 2D superconductor, a quantum-Hall liquid and an anyon superconductor is presented. The relevance of the anyon model to copper-oxide superconductors is also discussed.

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