Thomas Jorg 1, Helmut G. Katzgraber 2, Florent Krzakala 3
Physical Review Letters 100 (2008) 197202
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.
- 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 2. Theoretische Physik,
ETH Zurich - 3. Laboratoire de Physico-Chimie Théorique (LPCT),
CNRS : UMR7083 – ESPCI ParisTech