Which tunnel faster across a quantum Hall strip: fractional charges or electrons?
Mesoscale and Nanoscale Physics
2008-02-03 v1
Abstract
The tunneling rate of fractional charge across a Laughlin state on the cylinder is computed numerically. The decay with strip width Y is fitted to exp[- a (Y/ l)**2/12] where l is the Landau length, and a is approximately 1.0. This rate is exponentially LARGER than the electron tunneling rate and can be interpreted by analogy to a superfluid vortex tunneling problem. Experimental implications include the ``law of corresponding states'', periodicity of Aharonov-Bohm resistance oscillations and charge measurements by quantum shot noise.
Keywords
Cite
@article{arxiv.cond-mat/9707331,
title = {Which tunnel faster across a quantum Hall strip: fractional charges or electrons?},
author = {Assa Auerbach},
journal= {arXiv preprint arXiv:cond-mat/9707331},
year = {2008}
}
Comments
5 pages, 3 Postscript Figures, uses epsf and psfig