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MAGNETIZATION - A CHARACTERISTIC OF THE KOSTERLITZ-THOULESS-BEREZINSKII TRANSITION

BRAMWELL, ST; HOLDSWORTH, PCW; (1994) MAGNETIZATION - A CHARACTERISTIC OF THE KOSTERLITZ-THOULESS-BEREZINSKII TRANSITION. PHYS REV B , 49 (13) 8811 - 8814.

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Abstract

In the low-temperature phase of the two-dimensional XY model, spin-spin correlations decay so slowly with distance that the thermodynamic limit is inaccessible. As a result the Mermin-Wagner theorem is inapplicable to any realizable system, and all have a measurable finite-size magnetization. We show that there is a regime of universal behavior near to the Kosterlitz-Thouless-Berezinskii transition. In experiments, the regime is identified by a magnetization exponent beta=0.23, which we have calculated by a renormalization-group analysis. Monte Carlo simulations of an harmonic XY model clearly locate the boundaries of the universal regime, and identify it with vortex renormalization.

Type:Article
Title:MAGNETIZATION - A CHARACTERISTIC OF THE KOSTERLITZ-THOULESS-BEREZINSKII TRANSITION
Keywords:PHASE-TRANSITION, XY-MODEL, MONTE-CARLO, PLANE, CROSSOVER, SYMMETRY, SYSTEM, FILMS
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Physics and Astronomy

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