Problems With the Vortex-Boson Mapping in 1+1 Dimensions

Details Problems With the Vortex-Boson Mapping in 1+1 Dimensions Problems With the Vortex-Boson Mapping in 1+1 Dimensions

1995-01-23

arxiv.org/abs/cond-mat/9501107v1

Physics

Condensed Matter

4 Pages (REVTeX 3.0). Postscript file for this paper is available on the World Wide Web at http://cmtw.harvard.edu/~simon/ ;

Scientific paper

10.1103/PhysRevB.51.15610

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.

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