Nonstationary equations of motion for magnetic bubble domains

Abstract

Motion equations for the magnetic bubble domain containing a small number of the Bloch lines are derived in the framework of the Lagrange formalism. The analysis of the Döring kinetic term is given in the nonstationary case. The linear responses of a single bubble domain are considered and the stability of the pair of the vertical Bloch lines of opposite signs is examined. The threshold magnitude of the driving magnetic field is found. Static 2D domain wall structures describing the intersection of the two Bloch lines are obtained.

Numerical study of spirals in a two-dimensionalXYmodel with in-plane magnetic field

“…The vortex-like singularities with ∼ k tan −1 (y/x) have been treated in detail in numerous studies. The exact solutions with the k = ±4 have been obtained in [7][8][9]; later, a wider class of similar multi-vortex solutions was found by Hirota's method [10]. As a result of intensive investigations of equation ( 1) the solutions with another vorticity k = ±1, ±2, ±3 have been found [4,11].…”