Fractional Quantum Hall Effect in an Array of Quantum Wires
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- 4 January 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 88 (3) , 036401
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.Keywords
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