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 …

Percolation is the paradigm for random connectivity and has been one of the most applied
statistical models. With simple geometrical rules a transition is obtained which is related to …

We study the second-order phase transition in the d-dimensional Ising model with long-
range interactions decreasing as a power of the distance $1/r^{d+ s} $. For s below some …

Several recent experiments in atomic, molecular, and optical systems motivated a huge
interest in the study of quantum long-range systems. Our goal in this paper is to present a …

We consider the question of conformal invariance of the long-range Ising model at the
critical point. The continuum description is given in terms of a nonlocal field theory, and the …

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the paradigmatic example of a
topological phase transition without symmetry breaking, where a quasiordered phase …

The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a
continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They …

The study of critical properties of systems with long-range interactions has attracted, in
recent decades, a continuing interest and motivated the development of several analytical …

Motivated directly by recent trapped-ion quantum simulation experiments, we carry out a
comprehensive study of the phase diagram of a spin-1 chain with XXZ-type interactions that …