Non-compact local excitations in spin glasses

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  • 26 July 2001
Abstract
We consider the lowest-lying local excitations of the 3D Edwards-Anderson model: given the ground state and a number of spins to be flipped, we determine the connected cluster of minimum energy having that size and containing a particular spin. The fractal dimension of these clusters turns out to be close to two, suggesting an analogy with lattice animals. Furthermore, their energy does not grow with their size. The associated exponent is slightly negative whereas the one for compact clusters is positive. The optimal clusters of different sizes are found to be strongly correlated.

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