Geometrical description of the fractional quantum hall effect

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Abstract

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.

Original languageEnglish (US)
Article number116801
JournalPhysical review letters
Volume107
Issue number11
DOIs
StatePublished - Sep 6 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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