Short-time critical dynamics of the Baxter-Wu model

TL;DR

This paper investigates the early-time critical dynamics of the Baxter-Wu model, revealing that its dynamic exponent z aligns with related models, but its exponent θ differs significantly, possibly due to the absence of a marginal operator.

Contribution

It provides the first detailed analysis of the short-time critical dynamics of the Baxter-Wu model, highlighting differences in dynamic exponents compared to similar models.

Findings

Dynamic exponent z agrees with related models.

Dynamic exponent θ differs significantly from similar models.

Absence of a marginal operator may explain the discrepancy.

Abstract

We study the early time behavior of the Baxter-Wu model, an Ising model with three-spin interactions on a triangular lattice. Our estimates for the dynamic exponent $z$ are compatible with results recently obtained for two models which belong to the same universality class of the Baxter-Wu model: the two-dimensional four-state Potts model and the Ising model with three-spin interactions in one direction. However, our estimates for the dynamic exponent $\theta $ of the Baxter-Wu model are completely different from the values obtained for those models. This discrepancy could be related to the absence of a marginal operator in the Baxter-Wu model.