THE COULOMB GAS FOR EXCITED STATES IN THE FRACTIONAL QUANTUM HALL EFFECT
Keyword(s):
We follow Fubini's suggestion to use vertex operators for describing electrons and holes in the two-dimensional set-up appropriate for the description of the fractional quantum Hall effect, i.e., on the gauge-fixed magnetic plane. Laughlin's wave function is thus reproduced as the correlator of primary conformal fields, represented as exponentials of a free scalar field. We generalize an Ansatz by Halperin and present a new wave function describing the ground-state and the excited states of a system of unpolarized electrons. We realize these wave functions as correlators of normal-ordered exponentials of two free fields. We also give an explicit representation for the creation operator of an excitation.
1996 ◽
Vol 77
(8)
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pp. 1568-1571
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1991 ◽
Vol 06
(19)
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pp. 1779-1786
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1992 ◽
Vol 107
◽
pp. 195-203
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1992 ◽
Vol 06
(05n06)
◽
pp. 803-804
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