# 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 } }

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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