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

Leon Balents·Steven H. Simon
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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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Leon Balents, Steven H. Simon. 1995-01-23. Problems With the Vortex-Boson Mapping in 1+1 Dimensions. https://doi.org/10.1103/physrevb.51.15610

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