Finite-size scaling of the helicity modulus of the two-dimensional O(3) model

Details Finite-size scaling of the helicity modulus of the two-dimensional O(3) model Finite-size scaling of the helicity modulus of the two-dimensional O(3) model

1996-11-06

arxiv.org/abs/cond-mat/9611043v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 Postscript figures, to appear in Phys. Rev. B Jan. 1997 as a Brief Report

Scientific paper

10.1103/PhysRevB.55.41

Using Monte Carlo methods, we compute the finite-size scaling function of the helicity modulus $\Upsilon$ of the two-dimensional O(3) model and compare it to the low temperature expansion prediction. From this, we estimate the range of validity for the leading terms of the low temperature expansion of the finite-size scaling function and for the low temperature expansion of the correlation length. Our results strongly suggest that a Kosterlitz-Thouless transition at a temperature $T > 0$ is extremely unlikely in this model.

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