Non-Abelian two-component fractional quantum Hall states

A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the order of zeros in ground-state wave functions as various clusters of electrons are brought together. The pattern-of-zeros approach can be generalized to systematically cla...

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Bibliographic Details
Main Authors: Barkeshli, Maissam (Contributor), Wen, Xiao-Gang (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2011-03-18T22:22:10Z.
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Summary:A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the order of zeros in ground-state wave functions as various clusters of electrons are brought together. The pattern-of-zeros approach can be generalized to systematically classify multilayer/spin-unpolarized FQH states, which has led to the construction of a class of non-Abelian multicomponent FQH states. Here we discuss some of the simplest non-Abelian two-component states that we find and the possibility of their experimental realization in bilayer systems at ν=2/3, 4/5, 4/7, 4/9, 1/4, etc.
National Science Foundation (U.S.) (Grant no. DMR-0706078)