The 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 inter-wire 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 groundstate of a Hamiltonian that we explicitly construct.

Revtex, 4 pages, 2 figures

References in corpus (2)

• Sliding Luttinger liquid phases
• Paired fractional quantum Hall states and the nu=5/2 puzzle

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