Non-compact local excitations in spin glasses

Details Non-compact local excitations in spin glasses Non-compact local excitations in spin glasses

2001-07-26

arxiv.org/abs/cond-mat/0107544v2

Europhys. Lett. 58(3), 321 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, LaTex, discussion on stability clarified

Scientific paper

10.1209/epl/i2002-00641-3

We study numerically the local low-energy excitations in the 3-d Edwards-Anderson model for spin glasses. Given the ground state, we determine the lowest-lying connected cluster of flipped spins with a fixed volume containing one given spin. These excitations are not compact, having a fractal dimension close to two, suggesting an analogy with lattice animals. Also, their energy does not grow with their size; the associated exponent is slightly negative whereas the one for compact clusters is positive. These findings call for a modification of the basic hypotheses underlying the droplet model.

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