Nonlinear susceptibilities of spherical models

Leticia F. Cugliandolo (1, 2) , David S. Dean (3) , Hajime Yoshino

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
3 PhyStat - Physique Statistique des Systèmes Complexes (LPT)

The static and dynamic susceptibilities for a general class of mean field random orthogonal spherical spin glass models are studied. We show how the static and dynamical properties of the linear and nonlinear susceptibilities depend on the behaviour of the density of states of the two body interaction matrix in the neighbourhood of the largest eigenvalue. Our results are compared with experimental results and also with those of the droplet theory of spin glasses.

Domaines: Mécanique statistique [cond-mat.stat-mech]

Leticia F. Cugliandolo, David S. Dean, Hajime Yoshino. Nonlinear susceptibilities of spherical models. Journal of Physics A: Mathematical and Theoretical, 2007, 40 (16), pp.4285-4303. ⟨10.1088/1751-8113/40/16/003⟩. ⟨hal-00124317⟩