Critical exponents and equation of state of three-dimensional spin models

TL;DR

This paper combines high-temperature expansions and Monte Carlo simulations to precisely determine critical exponents and equation of state for 3D spin models, comparing results with theory and experiments like 4He.

Contribution

It provides highly accurate critical exponents and scaling amplitude ratios for 3D Ising and XY models, enhancing understanding of their critical behavior.

Findings

Critical exponents determined with high precision

Scaling amplitude ratios computed from the critical equation of state

Results compared favorably with experimental data on 4He

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. Critical exponents are determined to very high precision. Scaling amplitude ratios are computed via the critical equation of state. Our results are compared with other theoretical computations and with experiments, with special emphasis on the lambda transition of 4He.