Micromagnetic Computer Simulated Scaling Effect of S-Shaped Permalloy Nano-Element on Operating Fields for and or or Logic

The scaling effect of permalloy s-shaped element, a rectangular element with appendages, on operating fields,
H
_x
and
H
_y
, was investigated by micromagnetic computer simulations for and or or logic. The optimized combination of operating fields (
H
_x
,
H
_y
) was found to be (27.7±9.9, -16.7±8.8), (37.9±12.4, -25.9±6.0), and (42.2±8.8, -23.9±4.0) in kA/m for the 100, 50, and 30 nm long s-shaped elements, respectively. As the s-shaped element is scaled down, the allowable deviation from the optimized operating fields becomes smaller and optimized operating fields shift to higher field.