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Spatially Ordered Fractional Quantum Hall States

Leon Balents
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Abstract

Fractional quantum Hall liquids can accomodate various degrees of spatial ordering. The most likely scenarios are a Hall hexatic, Hall smectic, and Hall crystal, in which respectively orientational, one--dimensional translational, and two--dimensional translational symmetries are broken. I derive the long--wavelength properties of these phases and the transitions between them using the Chern--Simons Landau--Ginzburg mapping, which relates them to spatially ordered superfluids. The effects of coupling to a periodic or anisotropic ``substrate'' (e.g. a gate array) are also discussed.

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Leon Balents. 1995-02-02. Spatially Ordered Fractional Quantum Hall States. https://doi.org/10.1209/epl%2Fi1996-00335-x

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