Interplay of topological and structural defects in the 2D XY model

Details Interplay of topological and structural defects in the 2D XY model Interplay of topological and structural defects in the 2D XY model

2008-03-13

arxiv.org/abs/0803.1938v1

Phys. Lett. A, vol. 372 (2008) 5716-5721

Physics

Condensed Matter

Statistical Mechanics

13 pages, 1 eps figure, style files included

Scientific paper

10.1016/j.physleta.2008.06.087

The present work is devoted to the investigation of the interaction between vortices (topological defects) and site-impurities (structural defects) in the 2D XY model and its influence on the well-known properties of the pure system. The main goal is a theoretical description of the Berezinskii-Kosterlitz-Thouless (BKT) temperature reduction by quenched non-magnetic impurities, based on the vacancy-vortex interactions and the vortex-pair dissociation mechanism of the transition. The non-magnetic impurity interaction with a system of vortices can be found either from the phenomenological theory of topological defects or from the Villain model. We take both paths and compare the results obtained. Our prediction for the BKT temperature reduction is confirmed by the available Monte Carlo data.

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