High-precision estimates of critical quantities by means of improved Hamiltonians

TL;DR

This paper combines high-temperature expansions and Monte Carlo simulations on improved Hamiltonians to achieve highly precise estimates of critical exponents and equations of state for 3D spin models in the Ising and XY classes.

Contribution

It introduces an improved Hamiltonian approach that significantly enhances the accuracy of critical quantity estimations in 3D spin models.

Findings

Critical exponents determined with very high precision

Critical equation of state accurately characterized

Method improves estimation accuracy for universality class models

Abstract

Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations applied to improved Hamiltonians. The critical exponents and the critical equation of state are determined to very high precision.