Volume 50, Number 5, June I 2000
|Page(s)||668 - 673|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 September 2002|
Defect fugacity, spin-wave stiffness and of the 2d planar rotor model
Institut für Physik,
Johannes Gutenberg Universität Mainz -
55099, Mainz, Germany
2 Universität Konstanz, Fakultät für Physik, Fach M 691 - 78457, Konstanz, Germany
Accepted: 5 April 2000
We obtain precise values for the fugacities of vortices in the 2d planar rotor model from Monte Carlo simulations in the sector with no vortices. The bare spin-wave stiffness is also calculated and shown to have significant anharmonicity. Using these as inputs in the KT recursion relations, we predict the temperature , using linearised equations, and using next higher-order corrections, at which vortex unbinding commences in the unconstrained system. The latter value, being in excellent agreement with all recent determinations of , demonstrates that our method 1) constitutes a stringent measure of the relevance of higher-order terms in KT theory and 2) can be used to obtain transition temperatures in similar systems with modest computational effort.
PACS: 75.30.Kz – Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.) / 05.10.Ln – Monte Carlo methods
© EDP Sciences, 2000
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