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  3. Regularized Micromagnetic Theory For Bloch Points.
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  3. Regularized Micromagnetic Theory For Bloch Points.

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Regularized micromagnetic theory for Bloch points.

Vladyslav M Kuchkin1, Andreas Haller1, Andreas Michels1

  • 1Department of Physics and Materials Science, University of Luxembourg, Luxembourg, Luxembourg.

Communications Physics
|April 29, 2026

View abstract on PubMed

Summary
This summary is machine-generated.

This study introduces a regularized micromagnetic model to accurately describe Bloch point (BP) dynamics, overcoming limitations of classical theories by allowing magnetization vector length variations. The model successfully simulates various magnetic textures, advancing micromagnetic theory.

Keywords:
Magnetic properties and materials

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Theoretical Physics

Background:

  • Classical micromagnetic theory assumes fixed magnetization vector length, failing to accurately model Bloch points (BPs) due to effective field divergence.
  • Bloch points are magnetic singularities that pose a fundamental challenge to existing micromagnetic models.
  • Understanding BP dynamics is crucial for advancing spintronic devices and magnetic data storage.

Purpose of the Study:

  • To develop a regularized micromagnetic model capable of describing Bloch point dynamics.
  • To incorporate a constraint on magnetization vector length, treating it as an order parameter on an S^3-sphere.
  • To extend the applicability of micromagnetic theory to systems with complex magnetic singularities.

Main Methods:

  • Developed a regularized micromagnetic model where magnetization vector length is variable but bounded.
  • Treated magnetization as an order parameter constrained to an S^3-sphere, aligning with quantum system properties.
  • Derived regularized Landau-Lifshitz-Gilbert and Thiele-like equations for steady spin texture motion.

    • Main Results:

    • Successfully modeled the dynamics of magnetic textures containing Bloch points, including domain walls, chiral bobbers, and magnetic dipolar strings.
    • Demonstrated the model's ability to handle the complexities arising from Bloch point singularities.
    • Validated the regularized equations for describing steady motion under external stimuli.

    Conclusions:

    • The proposed regularized micromagnetic model provides a robust framework for understanding Bloch point dynamics.
    • This approach overcomes the limitations of classical micromagnetics in describing magnetic singularities.
    • The findings offer a pathway for more accurate simulations and predictions in magnetic systems with BPs.