Fractal Droplets in Two Dimensional Spin Glasses

Details Fractal Droplets in Two Dimensional Spin Glasses Fractal Droplets in Two Dimensional Spin Glasses

1999-10-22

arxiv.org/abs/cond-mat/9910366v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages 4 figures

Scientific paper

10.1143/JPSJ.69.987

The two-dimensional Edwards-Anderson model with Gaussian bond distribution is investigated at T=0 with 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 to be -0.42(4), clearly different from the stiffness exponent for domain wall excitations.

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