Magnetic exponents of two-dimensional Ising spin glasses

Details Magnetic exponents of two-dimensional Ising spin glasses Magnetic exponents of two-dimensional Ising spin glasses

2007-04-12

arxiv.org/abs/0704.1626v2

Phys. Rev. B 76, 060405 (2007).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, title now includes "Ising"

Scientific paper

10.1103/PhysRevB.76.060405

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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