2011/06/27 by F. D. M. Haldane · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevlett.107.116801
4 pages, 0 figures; typo in formula for gaussian curvature of quasiparticle (p 4, last paragraph) fixed
arxiv created 2011/06/27 · arxiv updated 2015/05/28
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.