The Néel temperature TN of quasi-one-and quasi-two-dimensional antiferromagnetic
Heisenberg models on a cubic lattice is calculated by Monte Carlo simulations as a function …

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 …

We carry out a high-precision Monte Carlo simulation of the two-dimensional O (3)-invariant
σ model at correlation lengths ξ up to∼ 1 0 5. Our work employs a powerful method for …

Tensor-network methods are used to perform a comparative study of the two-dimensional
classical Heisenberg and RP 2 models. We demonstrate that uniform matrix product states …

A new application of finite size scaling to Monte Carlo simulations is introduced. Using this
technique, critical behavior can be investigated at temperatures arbitrarily close to the critical …

The renormalized zero-momentum four-point coupling gr of O (N)-invariant scalar field
theories in d dimensions is studied by applying the 1/N expansion and strong-coupling …

For the two-dimensional standard O (3) nonlinear σ model with the Hamiltonian H=-β J< ij> σ
i⋅ σ j, we report a bulk correlation length (ξ∞) up to β= 2.7 (where the corresponding ξ∞≃ …

Here is a summary: Section 1 reviews the basic principles of dynamic Monte Carlo methods.
Section 2 discusses the practical problems of statistical data analysis. Section 3 surveys the …

We consider the two-dimensional (2D) J 1− J 2 classical XY model on a square lattice. In the
frustrated phase corresponding to J 2> J 1/2, an Ising-like order parameter emerges by an …

We present the results of a large-scale simulation of dynamically triangulated random
surfaces with extrinsic curvature embedded in three-dimensional flat space. We measure a …