Duality in Multi-layered Quantum Hall Systems
نویسنده
چکیده
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-quasihole wavefunction is proposed for the bilayered samples. We also predict a ν = 5/7 FQHE for triple-layered samples. The viability of 3-dimensional FQHE and the application of the concept of generalized duality to anyonic superconductivity are discussed. PACS numbers: 71.28, 71.10, 72.20M
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تاریخ انتشار 1992