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- W2007371906 abstract "The possibility of realizing non-Abelian statistics and utilizing it for topological quantum computation (TQC) has generated widespread interest. However, the non-Abelian statistics that can be realized in most accessible proposals is not powerful enough for universal TQC. In this Letter, we consider a simple bilayer fractional quantum Hall system with the $1/3$ Laughlin state in each layer. We show that interlayer tunneling can drive a transition to an exotic non-Abelian state that contains the famous ``Fibonacci'' anyon, whose non-Abelian statistics is powerful enough for universal TQC. Our analysis rests on startling agreements from a variety of distinct methods, including thin torus limits, effective field theories, and coupled wire constructions. We provide evidence that the transition can be continuous, at which point the charge gap remains open while the neutral gap closes. This raises the question of whether these exotic phases may have already been realized at $ensuremath{nu}=2/3$ in bilayers, as past experiments may not have definitively ruled them out." @default.
- W2007371906 created "2016-06-24" @default.
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- W2007371906 creator A5052474151 @default.
- W2007371906 date "2014-12-03" @default.
- W2007371906 modified "2023-10-14" @default.
- W2007371906 title "Fibonacci Anyons From Abelian Bilayer Quantum Hall States" @default.
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- W2007371906 doi "https://doi.org/10.1103/physrevlett.113.236804" @default.
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