Spatially Ordered Fractional Quantum Hall States
Condensed Matter
2016-08-31 v1
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.
Cite
@article{arxiv.cond-mat/9502013,
title = {Spatially Ordered Fractional Quantum Hall States},
author = {Leon Balents},
journal= {arXiv preprint arXiv:cond-mat/9502013},
year = {2016}
}
Comments
5 pages, RevTeX twocolumn format, no figures. Postscript file available on the WWW at http://rheims.itp.ucsb.edu/~balents/