Geometrical Description of the Fractional Quantum Hall Effect

[摘要]：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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