Bilayer Coherent and Quantum Hall Phases: Duality and Quantum Disorder

Abstract

We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $\nu =1/k$ (where $k$ is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the concept of quantum disordering, we find a large number of possible compressible and incompressible ground states, some of which may have relevance to recent experiments of Spielman {\it et.al.}. We find interlayer coherent compressible states without Hall quantization and interlayer-incoherent incompressible with Hall quantization in addition to the usual $(k,k,k)$ Halperin states, which are both interlayer-coherent and incompressible.

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• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Josephson Effect Without Superconductivity: Realization in Quantum Hall Bilayers
• Strong Correlation to Weak Correlation Phase Transition in Bilayer Quantum Hall Systems
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