Trace formula for Riemann surfaces with magnetic field

1993 ◽  
Vol 71 (23) ◽  
pp. 3786-3789 ◽  
Author(s):  
Alian Comtet ◽  
Bertrand Georgeot ◽  
Stéphane Ouvry
Keyword(s):  
Magnetic Field ◽  
Trace Formula ◽  
Riemann Surfaces

scholarly journals INTRINSIC QUASIPARTICLE’S SPIN AND FRACTIONAL QUANTUM HALL EFFECT ON RIEMANN SURFACES

1993 ◽  
Vol 07 (16) ◽  
pp. 1103-1110 ◽  
Author(s):  
DINGPING LI
Keyword(s):  
Magnetic Field ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Riemann Surfaces ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States

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.

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