Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 69, Issue 4, Pages 987-990Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.69.987
Keywords
spin glasses; phase transition; disorder; surface; droplet
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The two-dimensional Edwards-Anderson model with Gaussian bond distribution is investigated at T = 0 through a numerical method. Droplet excitations are directly observed. It turns out that the averaged volume of droplets is proportional to l(D) with D = 1.80(2) where l is the spanning length of droplets, revealing their fractal nature. The exponent characterizing the l dependence of the droplet excitation energy is estimated as theta(D)' = -0.42(4), clearly different from the stiffness exponent for domain wall excitations.
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