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arXiv · 0704.1626

Magnetic exponents of two-dimensional Ising spin glasses

F. Liers·O. C. Martin
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Abstract

The magnetic critical properties of two-dimensional Ising spin glasses are controversial. Using exact ground state determination, we extract the properties of clusters flipped when increasing continuously a uniform field. We show that these clusters have many holes but otherwise have statistical properties similar to those of zero-field droplets. A detailed analysis gives for the magnetization exponent delta = 1.30 +/- 0.02 using lattice sizes up to 80x80; this is compatible with the droplet model prediction delta = 1.282. The reason for previous disagreements stems from the need to analyze both singular and analytic contributions in the low-field regime.

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F. Liers, O. C. Martin. 2007-09-07. Magnetic exponents of two-dimensional Ising spin glasses. https://doi.org/10.1103/physrevb.76.060405

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