Monte Carlo study of the critical temperature for the planar rotator model with nonmagnetic impurities

Details Monte Carlo study of the critical temperature for the planar rotator model with nonmagnetic impurities Monte Carlo study of the critical temperature for the planar rotator model with nonmagnetic impurities

2002-10-09

arxiv.org/abs/cond-mat/0210210v1

Physics

Condensed Matter

5 pages, 5 figures, Revetex file

Scientific paper

10.1103/PhysRevB.67.104426

We performed Monte Carlo simulations to calculate the Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ for the two-dimensional planar rotator model in the presence of nonmagnetic impurity concentration $(\rho)$. As expected, our calculation shows that the BKT temperature decreases as the spin vacancies increase. There is a critical dilution $\rho_c \approx 0.3$ at which $T_{BKT} =0$. The effective interaction between a vortex-antivortex pair and a static nonmagnetic impurity is studied analytically. A simple phenomenological argument based on the pair-impurity interaction is proposed to justify the simulations.

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