Fractional Quantum Hall States in Narrow Channels

Details Fractional Quantum Hall States in Narrow Channels Fractional Quantum Hall States in Narrow Channels

1992-12-17

arxiv.org/abs/cond-mat/9212025v1

Physics

Condensed Matter

8 pages, 2 figures (not included)

Scientific paper

10.1143/JPSJ.62.839

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.

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