Non-compact local excitations in spin glasses

Preprint

21 February 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0107544

Abstract

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.

Keywords

ENERGY EXCITATIONS
LOCAL EXCITATIONS
COMPACT LOCAL
MODIFICATION
SPIN GLASSES
LOCAL LOW
CLUSTERS
FRACTAL

All Related Versions

Version 1, 2001-07-26, ArXiv
Version 2, 2002-02-21, ArXiv
Published version: Europhysics Letters, 58 (3), 321.

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