Dynamical percolation transition in two dimensional ANNNI model

TL;DR

This study investigates the dynamical percolation transition in the 2D ANNNI model under pulsed magnetic fields, revealing universal critical behavior similar to the 2D Ising model despite static phase differences.

Contribution

It demonstrates that the dynamical percolation transition in the 2D ANNNI model shares the same universality class as the 2D Ising model, regardless of frustration parameters.

Findings

Critical exponents are invariant across frustration parameters.

Transition points shift with parameters but universality class remains the same.

Dynamical transition behavior aligns with that of the 2D Ising model.

Abstract

The dynamical percolation transition of two dimensional Axial Next Nearest Neighbour Ising (ANNNI) model to pulsed magnetic field has been studied by finite size scaling analysis (by Monte Carlo simulation) for various values of frustration parameters, pulse width and temperature (below the corresponding static transition temperature). It has been found that the size of the largest geometrical cluster shows a transition for a critical field amplitude. Although the transition points shift, the critical exponents remain invariant for a wide range of frustration parameters. It is also same as that obtained for the 2d Ising model. This suggests that although the static phase diagrams of these two models differ significantly in various aspects, the dynamical percolation transition of both these models belong to the same universality class.