Europhys. Lett.
Volume 72, Number 3, November 2005
Page(s) 472 - 478
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 05 October 2005
Europhys. Lett., 72 (3), pp. 472-478 (2005)
DOI: 10.1209/epl/i2005-10256-2

Disorder chaos in spin glasses

F. Krzakala1 and J.-P. Bouchaud2, 3

1  Laboratoire PCT, UMR CNRS 7083, ESPCI - 10 rue Vauquelin, 75005 Paris, France
2  SPEC, Orme des Merisiers, CEA Saclay - 91191 Gif-sur-Yvette Cedex, France
3  Science & Finance, Capital Fund Management - 6-8 Bd Haussmann 75009 Paris, France

received 24 July 2005; accepted 13 September 2005
published online 5 October 2005

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in $d=1,\,2,\,3$ and in mean field. We find that in all cases, simple scaling laws, involving the size of the system and the strength of the perturbation, are obeyed. We characterize in detail the distribution of overlap between ground states and the geometrical properties of flipped spin clusters in both the weak and strong chaos regime. The possible relevance of these results to temperature chaos is discussed.

75.10.Nr - Spin-glass and other random models.
75.50.Lk - Spin glasses and other random magnets.
75.60.Nt - Magnetic annealing and temperature-hysteresis effects.

© EDP Sciences 2005