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Theory of Incompressible States in a Narrow Channel

Tapash Chakraborty·K. Niemelä·P. Pietiläinen
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Abstract

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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Tapash Chakraborty, K. Niemelä, P. Pietiläinen. 1997-03-17. Theory of Incompressible States in a Narrow Channel. https://doi.org/10.1103/physrevlett.78.4829

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