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Fractional quantum Hall hierarchy and the second Landau level

Bonderson, Parsa and Slingerland, J.K. (2008) Fractional quantum Hall hierarchy and the second Landau level. Physical Review B, 78 (125323). pp. 1-10. ISSN 1098-0121

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Abstract

We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the v=5/2 Moore-Read state, we construct explicit trial wave functions to describe the fractional quantum Hall effect in the second Landau level. The resulting hierarchy of states, which reproduces the filling fractions of all observed Hall conductance plateaus in the second Landau level, is characterized by electron pairing in the ground state and an excitation spectrum that includes non- Abelian anyons of the Ising type. We propose this as a unifying picture in which p-wave pairing characterizes the fractional quantum Hall effect in the second Landau level.

Item Type: Article
Additional Information: Original article published in Physical Review B Vol.78 No.125323(2008) © 2008 The American Physical Society. We thank Jim Eisenstein, Adrian Feiguin, Woowon Kang, Chetan Nayak, Wei Pan, Ed Rezayi, Kirill Shtengel, and Steve Simon for illuminating discussions. We also acknowledge the hospitality of the IQI, Microsoft Station Q, and the Aspen Center for Physics. This work was supported in part by the NSF under Grant No. PHY-0456720 and the ARO under Contract No. W911NF-05-1-0294.
Keywords: Fractional; quantum Hall hierarchy; second Landau level;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2724
Identification Number: DOI: 10.1103/PhysRevB.78.125323
Depositing User: Dr. Joost Slingerland
Date Deposited: 27 Sep 2011 13:28
Journal or Publication Title: Physical Review B
Publisher: American Physical Society
Refereed: Yes
URI:

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