Neel wall the direction of magnetization change in a domain wall goes from that of the Bloch wall to...

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Neel wall the direction of magnetization change in a domain wall goes from that of the Bloch wall to that of a Neel wall (Fig. 36) in thin films of material of negligible crystalline anisotropy energy, such as Permalloy. The intercept of the Bloch wall with the surface of the film creates a surface region of high demagnetization energy. The Neel wall avoids this intercept contribution, but at the expense of a demagnetization contribution throughout the volume of the wall. The Neel wall becomes energetically favorable when the film becomes sufficiently thin. Consider, however, the energetic of the Neel wall in bulk material or negligible crystalline anisotropy energy. There is now a demagnetization contribution to the wall energy density. By a qualitative argument similar to (56), show that s0 =(p2JS2/Na2) + (2pM2sNa) find N for which sw is a minimum. Estimate the order of magnitude of sw for typical values of J, Ms. and a.

David · Accepted Answer

Microsoft Word - 667f05hw5_sol.doc
ELEG 667–016; MSEG-667-016 - Solid State Nanoelectronics – Fall 2005 
Solutions 
Homework #5 - due Tuesday, 17 October 2005, in class 
 
1.   
The maximum demagnetization field in a Néel wall is –4 πMs, (in cgs units) and the maximum 
self-energy density is ( )s s
1 4 M M
2
π . In a wall of thickness Na, where a is the lattice constant,

Neel wall the direction of magnetization change in a domain wall goes from that of the Bloch wall to that of a Neel wall (Fig. 36) in thin films of material of negligible crystalline anisotropy...

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