Fractional Quantum Hall States in Narrow Channels
Condensed Matter
2009-10-22 v1
Abstract
A model system is considered where two dimensional electrons are confined by a harmonic potential in one direction, and are free in the other direction. Ground state in strong magnetic fields is investigated through numerical diagonalization of the Hamiltonian. It is shown that the fractional quantum Hall states are realized even in the presence of the external potential under suitable conditions, and a phase diagram is obtained.
Keywords
Cite
@article{arxiv.cond-mat/9212025,
title = {Fractional Quantum Hall States in Narrow Channels},
author = {Daijiro Yoshioka},
journal= {arXiv preprint arXiv:cond-mat/9212025},
year = {2009}
}
Comments
8 pages, 2 figures (not included)