Geometrical Description of the Fractional Quantum Hall Effect
Mesoscale and Nanoscale Physics
2015-05-28 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1106.3375,
title = {Geometrical Description of the Fractional Quantum Hall Effect},
author = {F. D. M. Haldane},
journal= {arXiv preprint arXiv:1106.3375},
year = {2015}
}
Comments
4 pages, 0 figures; typo in formula for gaussian curvature of quasiparticle (p 4, last paragraph) fixed