Phase Transitions and Magnetic Fields in 2D Micromagnetics
Analysis
Key Takeaways
- •Determines minimal energy for arbitrary topological degree.
- •Reveals two types of phase transitions.
- •Proves uniqueness of energy minimizers in degrees 0 and -1.
- •Shows stability of homogeneous state beyond skyrmion instability.
- •Uncovers a new stability transition driven by Zeeman energy.
“The paper reveals two types of phase transitions consistent with physical observations and proves the uniqueness of energy minimizers in specific degrees.”