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Bulletin of the American Physical Society

Model wavefunctions for fractional quantum Hall collective modes

Bo Yang, F. D. M. Haldane, Zi-Xiang Hu, Zlatko Papić

Published Feb 29, 2012• 0 citations
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We have generalized recent results on the integer quantum Hall effect, constructing explicitly a W 1+ infinity for the fractional quantum Hall effect such that the negative modes annihilate the Laughlin wavefunctions. This generalization has a nice interpretation in Jain's composite-fermion theory. Furthermore, for these models, we have calculated the wavefunctions of the edge excitations, viewing them as area-preserving deformations of an incompressible quantum droplet and have shown that the W 1+ infinity is the underlying symmetry of the edge excitations in the fractional quantum Hall effect. Finally, we have applied this method to more general wavefunctions.