In the past few years, systems with slow dynamics have attracted considerable theoretical
and experimental interest. Ageing phenomena are observed during this everlasting non …

In this topical review we discuss the nature of the low-temperature phase in both infinite-
ranged and short-ranged spin glasses. We analyse the meaning of pure states in spin …

We have simulated, using parallel tempering, the three-dimensional Ising spin glass model
with binary couplings in a helicoidal geometry. The largest lattice (L= 20) has been studied …

Amorphous solids increase their stress as a function of an applied strain until a mechanical
yield point whereupon the stress cannot increase anymore, afterward exhibiting a steady …

We characterize numerically the properties of the phase transition of the three-dimensional
Ising spin glass with Gaussian couplings and of the low-temperature phase. We compute …

We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low
temperatures. The Janus special-purpose computer has allowed us to equilibrate, using …

Spin glasses are a longstanding model for the sluggish dynamics that appear at the glass
transition. However, spin glasses differ from structural glasses in a crucial feature: they enjoy …

We study numerically various properties of the free energy barriers in the Edwards–
Anderson model of spin glasses in the low-temperature region in both three and four spatial …

We argue that when the number of spins N in the Sherrington–Kirkpatrick model is finite, the
Parisi scheme can be terminated after K replica-symmetry breaking steps, where K (N)∝ N …

We solve the fully connected ferromagnetic XY model in a local Gaussian random magnetic
field using the replica method. We work out the replica symmetric (RS) solution and prove its …