Quantum Correlations and Topological Quantum Numbers in the Fractional Quantum Hall Effect

1993 ◽  
Vol 97 (1) ◽  
pp. 49-54 ◽  
Author(s):  
Erkki J. Brändas
2014 ◽  
Vol 1 (4) ◽  
pp. 564-579 ◽  
Author(s):  
Xi Lin ◽  
Ruirui Du ◽  
Xincheng Xie

Abstract The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary charge. Three decades later, the field of FQHE is still active with new discoveries and new technical developments. A significant portion of attention in FQHE has been dedicated to filling factor 5/2 state, for its unusual even denominator and possible application in topological quantum computation. Traditionally, FQHE has been observed in high-mobility GaAs heterostructure, but new materials such as graphene also open up a new area for FQHE. This review focuses on recent progress of FQHE at 5/2 state and FQHE in graphene.


1987 ◽  
Vol 56 (9) ◽  
pp. 3005-3008 ◽  
Author(s):  
Junichi Wakabayashi ◽  
Satoru Sudou ◽  
Shinji Kawaji ◽  
Kazuhiko Hirakawa ◽  
Hiroyuki Sakaki

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