Spatially ordered fractional quantum Hall states
Institute for Theoretical Physics, University of California,
Santa Barbara, CA 93106-4030
Accepted: 15 December 1995
Fractional quantum Hall liquids can accommodate various degrees of spatial ordering. The most likely scenarios are a Hall p -atic, 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.
PACS: 73.40.Hm – Quantum Hall effect (including fractional) / 67.90.+z – Other topics in quantum fluids and solids; liquid and solid helium
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