title: Fractional quantum Hall effect in an array of quantum wires.
abstract: We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate interwire electron hopping processes that drive the system into a variety of QH states. Some of the QH states are not included in the Haldane-Halperin hierarchy. In addition, we find operators allowed at any field that lead to novel crystals of Laughlin quasiparticles. We demonstrate that any QH state is the ground state of a Hamiltonian that we explicitly construct.
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: C L
authors.initials: CL
authors.lastname: Kane
authors.forename: Ranjan
authors.initials: R
authors.lastname: Mukhopadhyay
authors.forename: T C
authors.initials: TC
authors.lastname: Lubensky