Domain width model for perpendicularly magnetized systems including DMI (Conference Presentation)

2018 ◽  
Author(s):  
Matthias Kronseder ◽  
Christian Back ◽  
Thomas Norbert Gerhard Meier
Keyword(s):  
2009 ◽  
Vol 80 (14) ◽  
Author(s):  
C. W. Huang ◽  
Lang Chen ◽  
J. Wang ◽  
Q. He ◽  
S. Y. Yang ◽  
...  

1993 ◽  
Vol 17 (2) ◽  
pp. 225-228
Author(s):  
Y. H. Kim ◽  
M. Ohkawa ◽  
K. Ishiyama ◽  
K. I. Arai
Keyword(s):  

1998 ◽  
Vol 541 ◽  
Author(s):  
C.E. Zybill ◽  
H. Boubekeur ◽  
P. Radojkovic ◽  
M. Schwartzkopff ◽  
E. Hartmann ◽  
...  

AbstractFilms of (111) oriented self-polarized, tetragonal ferroelectric PZT crystallites on (100)Si/SiO2(250 nm)/(111) Pt (50 nm) have been investigated by STM, AFM and SAXS. After metallization of the PZT surface with a Cr-Ni film (5.2 nm thickness) or a Ti film (5.0 nm thickness), single domains were visible on the metal surface by STM measurements as parallel stripes. The lamellar stripes had a width of 10.5 – 25.2 nm and a vertical corrugation of 0.9 – 3.0 nm at the intersection line of the domain walls with the crystallite surface.High resolution AFM with EBD supertips on unmetallized samples revealed areas of typically several µm in diameter showing crystallites with perfectly parallel aligned (90°) domains of 10 - 15 nm width with their boundaries along {110} planes. Single domain walls were visible as a trace on the surface by a negative corrugation effect of 1.0 – 1.5 nm. This corrugation is assumed to be a reflection of the strain distribution normal to the surface. Furthermore, coherency (oxygen) defects are accumulated at the interface between 90 ° twin domains.SAXS investigations allowed to estimate a mean value of domain thickness of 17.5 nm. Exertion of stress (5.1 104Nm−2) to the film resulted in an increase of domain width by ∼1%.


Eddy current losses measured in ferromagnetic materials are generally greatly in excess of values calculated on the usual assumption that the permeability is uniform throughout the material. In reality changes of magnetization occur, for the most part, within the relatively minute volume of the Bloch walls. In this paper a domain model consisting of nearly plane domain walls normal to the surfaces of an infinite sheet is adopted as a basis for the calculation of eddy current effects. The model is basically that of Polivanov (1952) but extended to include such effects as arise from the finite surface energy and inertia of the domain walls, relaxation damping of their motion, and short-range fluctuations in both domain width and the restoring forces which localize the walls. In addition to the dispersion of the complex effective permeability, the frequency dependence of the electrical resistance and inductance of a ferromagnetic strip are also calculated. At low frequencies the losses are found to be much higher, and at high frequencies somewhat lower, than the classically computed values, the disparity increasing with increasing wall spacing from zero at zero wall spacing. The effect of short-range fluctuations of the domain width is shown to be small, but similar fluctuations in the domain wall restoring pressure constant about its mean value are found to lead to very high losses at low frequencies coupled with high-frequency losses which are not much below those predicted by the classical theory, a result in agreement with experimental observation. It is shown also that theories based on this type of simple domain model, in which the intradomain permeability is neglected entirely in comparison with that attributed to domain wall motion, must eventually break down at frequencies so high that domain wall motions are effectively damped out and the eddy current behaviour is primarily governed by the small intra-domain permeability


2007 ◽  
Vol 14 (3) ◽  
pp. 519-531
Author(s):  
Vladimir M. Miklyukov

Abstract We investigate stagnation zones of solutions of partial differential elliptic equations. With the domain width being much less than its length and special boundary conditions, these solutions can be almost constant over large subdomains. Such domains are called stagnation zones (𝑠-zones). We estimate the size, the location of these 𝑠-zones and study the behavior of solutions on 𝑠-zones.


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