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 …

A scaling theory for the long-range to short-range crossover and an infrared duality -
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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 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 …