# Geometrical description of the fractional quantum Hall effect.

@article{Haldane2011GeometricalDO,
title={Geometrical description of the fractional quantum Hall effect.},
author={F. D. M. Haldane},
journal={Physical review letters},
year={2011},
volume={107 11},
pages={
116801
}
}
• F. Haldane
• Published 17 June 2011
• Physics
• Physical review letters
The fundamental collective degree of freedom of fractional quantum Hall states is identified as a unimodular two-dimensional spatial metric that characterizes the local shape of the correlations of the incompressible fluid. Its quantum fluctuations are controlled by a topologically quantized "guiding-center spin." Charge fluctuations are proportional to its Gaussian curvature.
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