Issue |
Europhys. Lett.
Volume 49, Number 6, March 2000
|
|
---|---|---|
Page(s) | 794 - 800 | |
Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
DOI | https://doi.org/10.1209/epl/i2000-00221-7 | |
Published online | 01 September 2002 |
A geometrical picture for finite-dimensional spin glasses
Laboratoire de Physique Théorique et Modèles Statistiques,
Université Paris-Sud F-91405 Orsay, France
Corresponding authors: houdayer@ipno.in2p3.fr martino@ipno.in2p3.fr
Received:
9
August
1999
Accepted:
13
January
2000
A controversial issue in spin glass theory is whether mean field
correctly describes 3-dimensional spin glasses.
If it does, how can replica symmetry breaking
arise in terms of spin clusters in
Euclidean space?
Here we argue that there exist system-size
low-energy excitations that are “sponge-like”,
generating multiple valleys separated by diverging energy
barriers. The droplet model should be valid for length scales smaller
than the size of the system (), but nevertheless
there can be system-size excitations of constant energy without
destroying the spin glass phase. The picture we propose then combines
droplet-like behavior at finite length scales
with a potentially mean-field behavior at the system-size scale.
PACS: 75.10.Nr – Spin-glass and other random models / 64.70.Pf – Glass transitions
© EDP Sciences, 2000
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