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Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations

Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations

We study a two-dimensional model for micromagnetics, which consists in an energy functional over S2-valued vector fields. Bounded-energy configurations tend to be planar, except in small regions which can be described as vortices (Bloch lines in physics). As the characteristic "exchange-length" tends to 0, they converge to planar divergence-free unit …