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Duality in Multi-layered Quantum Hall Systems

C. Ting
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Abstract

The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a manifestation of puncture phase. When the dynamics is generalized for particles on a multi-sheeted surface, we obtain new tools which determine the fractional charges, the quantum statistics, and the filling factors of the multi-layered FQHE. A many-quasi-hole wavefunction is proposed for the bilayered samples. We also predict a $ν= 5/7$ FQHE for triple-layered samples. The viability of {\em 3-dimensional} FQHE and the application of the concept of generalized duality to anyonic superconductivity are discussed.

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C. Ting. 1992-07-17. Duality in Multi-layered Quantum Hall Systems. https://arxiv.org/abs/cond-mat/9207019

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