CHIRAL BOSON, CHIRAL VACUUM AND EDGE STATES IN THE FRACTIONAL QUANTUM HALL EFFECT
1994 ◽
Vol 09
(07)
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pp. 1181-1195
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Keyword(s):
By performing the Gupta–Bleuler quantization of a chiral boson, we obtain the chiral constraints, which correspond to the lowest Landau level conditions. From these, the chiral vacuum is defined as the vacuum of admixtures of many-harmonic oscillators. We construct the wave function for edge states of a droplet of incompressible quantum Hall fluid, by solving Schrödinger's equation on the basis of the chiral vacuum. This bosonic function can describe the collective edge modes, which are fundamentally a many-body effect of fermions at the lowest Landau level. In detail, the neutral edge state of FQHE is described by the α = 1 chiral boson theory. The charged edge states are described by the α ≠ 1 chiral boson theory.
1991 ◽
Vol 44
(20)
◽
pp. 11510-11513
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1993 ◽
Vol 08
(14)
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pp. 1297-1303
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Keyword(s):
1997 ◽
Vol 11
(22)
◽
pp. 2621-2660
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1991 ◽
Vol 05
(10)
◽
pp. 1715-1724
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