Characterizing topological properties in 2D textures with magnetic structure tensors

Area of Science:

• Condensed Matter Physics
• Materials Science
• Nanotechnology

Background:

• Topological properties of spin structures, such as magnetic skyrmions, are of significant interest.
• Characterizing these complex structures and their defects is crucial for understanding their behavior.

Purpose of the Study:

• To introduce a novel magnetic structure tensor for characterizing topological properties in 2D spin textures.
• To develop an order parameter for analyzing spin patterns and identifying topological defects.

Main Methods:

• Derivation of an order parameter from the orthogonal components of the magnetic structure tensor.
• Application of the order parameter to analyze spin configurations, including monopoles, dipoles, and quadrupoles.
• Validation through simulations and experimental data.

Main Results:

• The magnetic structure tensor effectively analyzes spin patterns and identifies topological defects.
• Identified topological defects as poles or multipoles with quantized charges.
• Demonstrated the formation of various topological configurations like monopoles, dipoles, and quadrupoles.

Conclusions:

• The magnetic structure tensor is a powerful tool for characterizing topological properties in 2D spin textures.
• The developed order parameter provides valuable insights into defect distribution and interactions.
• The approach is broadly applicable to self-organized patterns beyond magnetic structures.