Vortex-phonon interaction in the Kosterlitz-Thouless theory

Authors

E Kozik, University of Massachusetts - Amherst
Nikolai Prokof'ev, University of Massachusetts - AmherstFollow
Boris Svistunov, University of Massachusetts - AmherstFollow

Publication Date

2006

Journal or Book Title

Physics Review B

Abstract

The “canonical” variables of the Kosterlitz-Thouless theory—fields Φ0(r) and φ(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, canonical variables. The latter fact explains paradoxes of (i) absence of interaction between Φ0 and φ, and (ii) nonphysical contribution of small vortex pairs to long-range phase correlations. We resolve the paradoxes by explicitly relating Φ0 and φ to canonical vortex-pair and phonon variables.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://prb.aps.org/abstract/PRB/v73/i9/e092501

Volume

73

Issue

9

Recommended Citation

Kozik, E; Prokof'ev, Nikolai; and Svistunov, Boris, "Vortex-phonon interaction in the Kosterlitz-Thouless theory" (2006). Physics Review B. 1141.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1141