Phase Transitions and Magnetic Fields in 2D Micromagnetics

This paper investigates the energy landscape of magnetic materials, specifically focusing on phase transitions and the influence of chiral magnetic fields. It uses a variational approach to analyze the Landau-Lifshitz energy, a fundamental model in micromagnetics. The study's significance lies in its ability to predict and understand the behavior of magnetic materials, which is crucial for advancements in data storage, spintronics, and other related fields. The paper's focus on the Bogomol'nyi regime and the determination of minimal energy for different topological degrees provides valuable insights into the stability and dynamics of magnetic structures like skyrmions.