Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Micromagnetic investigation of periodic cross-tie/vortex wall geometry



Michael J. Donahue


A systematic series of micromagnetic simulations on periodic cross-tie/vortex wall structures in an ideal soft film at various width, thickness, 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 Neel 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 Neel walls is also examined, and canting inside cross-tie and vortex structures in films thicker than 1 exchange length is explained.
Advances in Condensed Matter Physics


Micromagnetic modeling, cross-ties, vortices, Neel walls


Donahue, M. (2012), Micromagnetic investigation of periodic cross-tie/vortex wall geometry, Advances in Condensed Matter Physics, [online], (Accessed April 22, 2024)
Created May 18, 2012, Updated November 10, 2018