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Bilayer Coherent and Quantum Hall Phases: Duality and Quantum Disorder

Eugene Demler·Chetan Nayak·Sankar Das Sarma
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Abstract

We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $ν=1/k$ (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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Eugene Demler, Chetan Nayak, Sankar Das Sarma. 2000-08-08. Bilayer Coherent and Quantum Hall Phases: Duality and Quantum Disorder. https://doi.org/10.1103/physrevlett.86.1853

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