Behavior of Ising Spin Glasses in a Magnetic Field

Thomas Jorg (1) , Helmut G. Katzgraber (2) , Florent Krzakala (3)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
2 Theoretische Physik
3 LPCT - Laboratoire de Physico-Chimie Théorique

We study the existence of a spin-glass phase in a field using Monte Carlo simulations performed along a nontrivial path in the field--temperature plane that must cross any putative de Almeida-Thouless instability line. The method is first tested on the Ising spin glass on a Bethe lattice where the instability line separating the spin glass from the paramagnetic state is also computed analytically. While the instability line is reproduced by our simulations on the mean-field Bethe lattice, no such instability line can be found numerically for the short-range three-dimensional model.

Domaines: Autre [cond-mat.other]

Thomas Jorg, Helmut G. Katzgraber, Florent Krzakala. Behavior of Ising Spin Glasses in a Magnetic Field. Physical Review Letters, 2008, 100, pp.197202. ⟨hal-00285952⟩