The Fractional Quantum Hall effect in an array of quantum wires

Details The Fractional Quantum Hall effect in an array of quantum wires The Fractional Quantum Hall effect in an array of quantum wires

2001-08-27

arxiv.org/abs/cond-mat/0108445v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.88.036401

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.

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