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 language | English (US) |
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Article number | 116801 |
Journal | Physical review letters |
Volume | 107 |
Issue number | 11 |
DOIs | |
State | Published - Sep 6 2011 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy