Correlation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions

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We study the correlation length of the two-dimensional Ising spin glass with a Gaussian distribution of interactions, using an efficient Monte Carlo algorithm proposed by Houdayer, that allows larger sizes and lower temperatures to be studied than was possible before. We find that the "effective" value of the bulk correlation length exponent νincreases as the temperature is lowered, and, at low temperatures, apparently approaches -1/θ, where θ~ -0.29 is the stiffness exponent obtained at zero temperature. This means scaling is satisfied and earlier results at higher temperatures that find a smaller value for νare affected by corrections to scaling.
4 pages, 3 figures

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/97376

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0402037
 http://arxiv.org/abs/cond-mat/0402037
 Phys. Rev. B 70, 014417 (2004)
 doi:10.1103/PhysRevB.70.014417

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arXiv