scholarly journals Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system

2015 ◽  
Vol 91 (24) ◽  
Author(s):  
W. Zhu ◽  
S. S. Gong ◽  
D. N. Sheng ◽  
L. Sheng
2007 ◽  
Vol 76 (15) ◽  
Author(s):  
F. Schulze-Wischeler ◽  
U. Zeitler ◽  
C. v. Zobeltitz ◽  
F. Hohls ◽  
D. Reuter ◽  
...  

2011 ◽  
Vol 26 (29) ◽  
pp. 2213-2221 ◽  
Author(s):  
DEBABRATA SINHA ◽  
PULAK RANJAN GIRI

It is shown that the noncommutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of noncommutative geometry labeled by the self-adjoint extension parameters. We explicitly perform an exact calculation using a singular interaction and show that, when projected to a certain Landau level, the emergent noncommutative geometries of the projected coordinates belong to a one-parameter family. There is a possibility of obtaining the filling fraction of fractional quantum Hall effect by suitably choosing the value of the self-adjoint extension parameter.


2001 ◽  
Vol 291 (4-5) ◽  
pp. 296-300 ◽  
Author(s):  
Yi-shi Duan ◽  
Peng-ming Zhang ◽  
Hong Zhang

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