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 …

Spin glasses are disordered magnetic systems that have led to the development of
mathematical tools with an array of real-world applications, from airline scheduling to neural …

Monte Carlo simulations are methods for simulating statistical systems. The aim is to
generate a representative ensemble of configurations to access thermodynamical quantities …

We present a comprehensive study of nonequilibrium phenomena in the low-temperature
phase of the Edwards-Anderson Gaussian spin glass in three and four spatial dimensions …

We report the results of Monte Carlo simulations on several spin-glass models at low
temperatures. By using the parallel tempering (exchange Monte Carlo) technique we are …

The nature of the spin glass state is investigated by studying changes to the ground state
when a weak perturbation is applied to the bulk of the system. We consider short range …

The population annealing algorithm introduced by Hukushima and Iba is described.
Population annealing combines simulated annealing and Boltzmann weighted differential …

We describe Janus, a massively parallel FPGA-based computer optimized for the simulation
of spin glasses, theoretical models for the behavior of glassy materials. FPGAs (as …

Extensive experimental and numerical studies of the nonequilibrium dynamics of spin
glasses subjected to temperature or bond perturbations have been performed to investigate …

A comprehensive description in all dimensions is provided for the scaling exponent y of low-
energy excitations in the Ising spin glass introduced by Edwards and Anderson. A …