creators_name: Bonderson, Parsa
creators_name: Slingerland, J. K.
creators_id: Bonderson-P
creators_id: Slingerland-J-K
type: article
datestamp: 2008-09-29 23:19:32
lastmod: 2008-09-29 23:19:32
metadata_visibility: show
title: Fractional quantum Hall hierarchy and the second Landau level
ispublished: pub
subjects: cls
full_text_status: public
keywords: ground states; Landau levels; quantum Hall effect
note: ©2008 The American Physical Society. 

(Received 24 July 2008; revised 19 August 2008; published 26 September 2008) 

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.
abstract: We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the nu=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.
date: 2008-09-15
date_type: published
publication: Physical Review B
volume: 78
number: 12
publisher: American Physical Society
pagerange: Art. No. 125323
id_number: CaltechAUTHORS:BONprb08
refereed: TRUE
issn: 1098-0121
official_url: http://resolver.caltech.edu/CaltechAUTHORS:BONprb08
related_url_url: http://dx.doi.org/10.1103/PhysRevB.78.125323
related_url_url: http://link.aps.org/abstract/PRB/v78/e125323
related_url_type: doi
related_url_type: pub
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citation: Bonderson, Parsa and Slingerland, J. K. (2008) Fractional quantum Hall hierarchy and the second Landau level. Physical Review B, 78 (12). Art. No. 125323. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:BONprb08 <http://resolver.caltech.edu/CaltechAUTHORS:BONprb08>
document_url: http://authors.library.caltech.edu/11798/1/BONprb08.pdf