The Fractional Quantum Hall effect in an array of quantum wires
Mesoscale and Nanoscale Physics
2009-11-07 v2 Strongly Correlated Electrons
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.
Keywords
Cite
@article{arxiv.cond-mat/0108445,
title = {The Fractional Quantum Hall effect in an array of quantum wires},
author = {C. L. Kane and Ranjan Mukhopadhyay and T. C. Lubensky},
journal= {arXiv preprint arXiv:cond-mat/0108445},
year = {2009}
}
Comments
Revtex, 4 pages, 2 figures