Problems With the Vortex-Boson Mapping in 1+1 Dimensions
Condensed Matter
2016-08-31 v1
Abstract
Using the well known boson mapping, we relate the transverse magnetic susceptibility of a system of flux vortices in 1+1 dimensions to an appropriately defined conductivity of a one-dimensional boson system. The tilt response for a system free of disorder is calculated directly, and it is found that a subtle order of limits is required to avoid deceptive results.
Cite
@article{arxiv.cond-mat/9501107,
title = {Problems With the Vortex-Boson Mapping in 1+1 Dimensions},
author = {Leon Balents and Steven H. Simon},
journal= {arXiv preprint arXiv:cond-mat/9501107},
year = {2016}
}
Comments
4 Pages (REVTeX 3.0). Postscript file for this paper is available on the World Wide Web at http://cmtw.harvard.edu/~simon/ ;