Problems With the Vortex-Boson Mapping in 1+1 Dimensions
arXiv:cond-mat/9501107 · doi:10.1103/PhysRevB.51.15610
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.
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