Theory of Incompressible States in a Narrow Channel

Details Theory of Incompressible States in a Narrow Channel Theory of Incompressible States in a Narrow Channel

1997-03-17

arxiv.org/abs/cond-mat/9703158v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, REVTEX, and 4 .ps files

Scientific paper

10.1103/PhysRevLett.78.4829

We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. It is shown that an increase in the strength of the Coulomb interaction causes abrupt changes in the width of the charge-density profile of translationally invariant states. We derive a phase diagram which includes many of the stable odd-denominator states as well as a novel fractional quantum Hall state at lowest half-filled Landau level. The collective mode evaluated at the half-filled case is strikingly similar to that for an odd-denominator fractional quantum Hall state.

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