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Advances in Condensed Matter Physics
Volume 2012 (2012), Article ID 908692, 8 pages
Research Article

Micromagnetic Investigation of Periodic Cross-Tie/Vortex Wall Geometry

Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA

Received 31 March 2012; Accepted 18 May 2012

Academic Editor: Eduardo Martinez Vecino

Copyright © 2012 Michael J. Donahue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A systematic series of micromagnetic simulations on periodic cross-tie/vortex wall structures in an ideal soft film at various widths, thicknesses, and period lengths is performed. For each width and thickness a natural period length is found which has minimal energy density for walls of this type. For each width, a critical thickness is determined below which the natural period length is infinite; for films thinner than this, the pure Néel wall has lower energy than any cross-tie/vortex wall. Details of the origin of the energy reduction in cross-tie/vortex walls as compared to Néel walls are also examined, and canting inside cross-tie and vortex structures in films thicker than 1 is explained.