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 n 3 1 k (where k is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploit- ing 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 experi- ments of Spielman et al. [Phys. Rev. Lett. 84, 5808 (2000)]. We find interlayer coherent compressible states without Hall quantization and interlayer incoherent incompressible states with Hall quantization in addition to the usual k,k,k Halperin states, which are both interlayer coherent and incompressible.