In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

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 test for the existence of a spin-glass phase transition, the de Almeida–Thouless line, in
an externally applied (random) magnetic field by performing Monte Carlo simulations on a …

The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature
using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is …

The spin-glass transition in a magnetic field is studied both in and out of the limit of validity of
mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds …

We compare the critical behavior of the short-range Ising spin glass with a spin glass with
long-range interactions which fall off as a power σ of the distance. We show that there is a …

We study the de Almeida–Thouless (AT) line in the one-dimensional power-law diluted XY
spin-glass model, in which the probability that two spins separated by a distance r interact …

One of the key predictions of Parisi's broken replica symmetry theory of spin glasses is the
existence of a phase transition in an applied field to a state with broken replica symmetry …

We study the existence of a line of transitions of an Ising spin glass in a magnetic field—
known as the de Almeida-Thouless line—using one-dimensional power-law diluted Ising …

We have introduced a variational method to improve the computation of integrated
correlation times in parallel tempering dynamics, obtaining a better estimate (a lower bound …