Non-compact local excitations in spin-glasses
Abstract
We study numerically the local low-energy excitations in the 3d 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.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- May 2002
- DOI:
- 10.1209/epl/i2002-00641-3
- arXiv:
- arXiv:cond-mat/0107544
- Bibcode:
- 2002EL.....58..321L
- Keywords:
-
- 02.60.Pn;
- 75.10.Nr;
- Numerical optimization;
- Spin-glass and other random models;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 7 pages, LaTex, discussion on stability clarified