Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfaces

1990 ◽  
Vol 41 (13) ◽  
pp. 9377-9396 ◽  
Author(s):  
X. G. Wen ◽  
Q. Niu
1993 ◽  
Vol 07 (16) ◽  
pp. 1103-1110 ◽  
Author(s):  
DINGPING LI

We derive the braid relations of the charged anyons interacting with a magnetic field on Riemann surfaces. The braid relations are used to calculate the quasiparticle’s spin in the fractional quantum Hall states on Riemann surfaces. The quasiparticle’s spin is found to be topologically independent and satisfies physical restrictions.


2020 ◽  
Vol 2 (3) ◽  
Author(s):  
L. V. Kulik ◽  
V. A. Kuznetsov ◽  
A. S. Zhuravlev ◽  
V. Umansky ◽  
I. V. Kukushkin

2011 ◽  
Vol 106 (23) ◽  
Author(s):  
Titus Neupert ◽  
Luiz Santos ◽  
Claudio Chamon ◽  
Christopher Mudry

1998 ◽  
Vol 58 (23) ◽  
pp. 15363-15366 ◽  
Author(s):  
Ganpathy Murthy ◽  
K. Park ◽  
R. Shankar ◽  
J. K. Jain

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