scholarly journals Berry phase and spin quantum Hall effect in the vortex state of superfluid3Hein two dimensions

2002 ◽  
Vol 66 (17) ◽  
Author(s):  
Jun Goryo ◽  
Mahito Kohmoto
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Berry Phase ◽  
Quantum Hall ◽  
Vortex State ◽  
Two Dimensions ◽  
Spin Quantum

The Integrable sl(2/1) Superspin Chain and the Spin Quantum Hall Effect

2005 ◽  
pp. 185-197
Author(s):  
Holger Frahm ◽  
Fabian H. L. Essler ◽  
Hubert Saleur
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Spin Quantum

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.

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.

QUANTUM HALL EFFECT AND BERRY PHASE

1994 ◽  
Vol 08 (26) ◽  
pp. 1643-1653 ◽  
Author(s):  
DIPTI BANERJEE ◽  
PRATUL BANDYOPADHYAY
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Berry Phase ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Intense Magnetic Field ◽  
Topological Features

It is shown here that a particle in an intense magnetic field may acquire the Berry phase and the topological features associated with this phase may be taken to be responsible for both the integrally and fractionally quantized Hall effect. The two different manifestations of quantum Hall effect have been realized in a unified scheme where the electrons associated with the fractional quantum Hall effect are found to be in an excited state having higher angular momentum.

scholarly journals Spin quantum Hall effect in unconventional superconductors

1999 ◽  
Vol 60 (6) ◽  
pp. 4245-4254 ◽  
Author(s):  
T. Senthil ◽  
J. B. Marston ◽  
Matthew P. A. Fisher
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Unconventional Superconductors ◽  
Spin Quantum
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