Wang-Landau simulation for the quasi-one-dimensional Ising model

TL;DR

This paper uses Wang-Landau simulation to analyze the density of states and phase transition features of the quasi-one-dimensional Ising model, focusing on interchain coupling effects and size dependence of specific heat.

Contribution

It introduces a two-dimensional energy space density of states for the anisotropic Ising model and explores phase transition characteristics in 2D and 3D cases.

Findings

Interchain coupling significantly affects the specific heat.

Size dependence influences the peak temperature of specific heat.

Phase transition features vary between 2D and 3D models.

Abstract

We revisit the nature of the quasi-one-dimensional Ising model on the basis of Wang-Landau simulation. We introduce the density of states in the two-dimensional energy space corresponding to the intra- and inter-chain directions. We then analyze the interchain coupling dependence of the specific heat of the anistropic two-dimensional Ising model in the context of the density of states, and further discuss the size dependences of the peak temperature. We also discuss the feature of the phase transition in the three-dimensional case.