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 …

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

At strong magnetic fields, double-layer two-dimensional electron-gas systems can form an
unusual broken-symmetry state with spontaneous interlayer phase coherence. In this paper …

Layered magnets, considered to be experimental realizations of the 2D XY model, have a
magnetization with a characteristic exponent beta= 0.23. They show, using modified …

We present details of a stochastic generalization of the multigrid method, called multigrid
Monte Carlo (MGMC), that reduces critical slowing down in Monte Carlo computations of …

Monte Carlo simulations of the short-time critical dynamics are reviewed. The short-time
universal scaling behavior of the dynamic Ising model and Potts model are discussed in …

Abstract We present detailed Monte Carlo results for the susceptibility χ, correlation length ξ,
and specific heat C v for the XY model. The simulations are done on 64 2, 128 2, 256 2, and …

In the low-temperature phase of the two-dimensional XY model, spin-spin correlations decay
so slowly with distance that the thermodynamic limit is inaccessible. As a result the Mermin …

Starting from a model of free Fermions in two dimensions with an arbitrary strong effective
interaction, we derive a Ginzburg‐Landau theory describing the crossover from BCS …

In this paper we provide a detailed description of the ground-state phase diagram of
interacting, disordered bosons on a lattice. We describe a quantum Monte Carlo algorithm …