Vortex-Phonon Interaction in the Kosterlitz-Thouless Theory

Details Vortex-Phonon Interaction in the Kosterlitz-Thouless Theory Vortex-Phonon Interaction in the Kosterlitz-Thouless Theory

2005-11-04

arxiv.org/abs/cond-mat/0511127v2

Phys. Rev. B 73, 092501 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTex

Scientific paper

10.1103/PhysRevB.73.092501

The "canonical" variables of the Kosterlitz-Thouless theory--fields $\Phi_0({\bf r})$ and $\phi({\bf r})$, generally believed to stand for vortices and phonons (or their XY equivalents, like spin waves, etc.) turn out to be neither vortices and phonons, nor, strictly speaking, {\it canonical} variables. The latter fact explains paradoxes of (i) absence of interaction between $\Phi_0$ and $\phi$, and (ii) non-physical contribution of small vortex pairs to long-range phase correlations. We resolve the paradoxes by explicitly relating $\Phi_0$ and $\phi$ to canonical vortex-pair and phonon variables.

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