We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

Rare regions, ie, rare large spatial disorder fluctuations, can dramatically change the
properties of a phase transition in a quenched disordered system. In generic classical …

Quantum annealers are commercial devices that aim to solve very hard computational
problems, typically those involving spin glasses,. Just as in metallurgic annealing, in which a …

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

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 …

We solve a long-standing puzzle in statistical mechanics of disordered systems. By
performing a<? format?> high-statistics simulation of the D= 3 random-field Ising model at …

Using finite-size scaling techniques we obtain accurate results for critical quantities of the
Ising model and the site percolation, in three dimensions. We pay special attention to …

We report a high-precision finite-size scaling study of the critical behavior of the three-
dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized …

We study the KPZ equation (in D= 2, 3 and 4 spatial dimensions) by using a restricted solid-
on-solid discretization of the surface. We measure the critical exponents very precisely, and …

These lecture notes give a pedagogical introduction to phase transitions in disordered
quantum systems and to the exotic Griffiths phases induced in their vicinity. We first review …