Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros
Author(s)
Barkeshli, Maissam
Wen, Xiao-Gang
Date Issued
December 2010
Journal
Physical review B
Publisher
American Physical Society
Citation
Barkeshli, Maissam, and Xiao-Gang Wen. “Classification of Abelian and non-Abelian multilayer fractional quantum Hall states through the pattern of zeros.” Physical Review B 82.24 (2010): n. pag. © 2010 The American Physical Society
Version
Final published version
Abstract
A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the way ideal ground-state wave functions go to zero as various clusters of electrons are brought together. In this paper, we generalize this approach to classify multilayer FQH states. Such a classification leads to the construction of a class of non-Abelian multilayer FQH states that are closely related to ĝk parafermion conformal field theories, where ĝk [g superscript k] is an affine simple Lie algebra. We discuss the possibility of some of the simplest of these non-Abelian states occurring in experiments on bilayer FQH systems at ν=2/3, 4/5, 4/7, etc.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.82.245301
