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arXiv · 2505.04282

Critical Behavior Analysis of Pure Dipolar Triangular Lattice via Equilibrium and Non-Equilibrium Monte Carlo Simulations

S. Ismailzadeh·M. D. Niry
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Abstract

Magnetic thin films and 2D arrays of magnetic nanoparticles exhibit unique physical properties that make them valuable for a wide range of technological applications. In such systems, dipolar interactions play a crucial role in determining their physical behavior. However, due to the anisotropic and long-range nature of dipolar interactions, conventional Monte Carlo (MC) methods face challenges in investigating these systems near criticality. In this study, we examine the critical behavior of a triangular lattice of XY dipoles using the optimized Tomita MC algorithm tailored for dipolar interactions. We employ two independent computational approaches to estimate the critical temperature and exponents: equilibrium MC simulations with histogram reweighting and the non-equilibrium relaxation method. Notably, both approaches demonstrate that this XY dipolar system might be in a new universality class very close to the 2D Ising universality class.

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S. Ismailzadeh, M. D. Niry. 2025-05-07. Critical Behavior Analysis of Pure Dipolar Triangular Lattice via Equilibrium and Non-Equilibrium Monte Carlo Simulations. https://arxiv.org/abs/2505.04282

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