A critical review is given of status and perspectives of Monte Carlo simulations that address
bulk and interfacial phase transitions of ferromagnetic Ising models. First, some basic …

Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

Roughly at the time (1987) when the manuscript for the first three chapters of the present
book was completed, several breakthroughs occurred. They had a profound influence on the …

Featuring detailed explanations of the major algorithms used in quantum Monte Carlo
simulations, this is the first textbook of its kind to provide a pedagogical overview of the field …

A review of the loop algorithm, its generalizations, and its relation to some other Monte Carlo
techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs …

We formulate a cluster Monte Carlo method for the anisotropic limit of Ising models on (d+ 1)-
dimensional lattices, which in effect, are equivalent with d-dimensional quantum transverse …

We present the results of extensive Monte Carlo simulations of Ising models with
algebraically decaying ferromagnetic interactions in the regime where classical critical …

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short-or long-
range interactions is presented. The algorithm is based on sampling the diagonal matrix …

Abstract The 1: 1 equisized hard-sphere electrolyte or restricted primitive model has been
simulated via grand-canonical fine-discretization Monte Carlo. Newly devised unbiased …

We perform a numerical study of the long-range (LR) ferromagnetic Ising model with power
law decaying interactions (J∝ r− d− σ) on both a one-dimensional chain (d= 1) and a square …