2Sumy State University, 116, Kharkivska Str., UA-40007 Sumy, Ukraine
3Institute for Low Temperature Physics and Engineering, N.A.S. of Ukraine, 47, Nauky Ave., UA-61103 Kharkiv, Ukraine
4A. S. Makarenko Sumy State Pedagogical University, 87, Romenska Str., UA-40002 Sumy, Ukraine
Size Effects in 'Symmetric' Magnetically Ordered Three-Layer Films
619–632 (2025)
PACS numbers: 72.25.Mk, 73.40.Jn, 73.61.At, 75.47.De, 75.47.Np, 81.40.Rs, 85.70.Kh
Received 13 December, 2024
Size effects in the magnetoresistive properties of the magnetically ordered 'symmetric' Fe0.8Ni0.2/Cu/Fe0.8Ni0.2/S sandwiches obtained by the layer-by-layer metal condensation with the subsequent heat treatment in the temperature range of (3–5)×102 K are studied experimentally and theoretically using the generalized Dieny formulas [1, 2]. At small (large) thickness values of the covering magnetic layer in comparison with the total thickness of the interfaces, non-magnetic interlayer, and basic magnetic layer, the numerical value of the magnetoresistance ratio δ is negligible due to the shunting of the covering-layer resistance by the resistance of the basic magnetic layer, non-magnetic layer, and interfaces (resistance shunting of the basic layer, non-magnetic interlayer, and interfaces by the covering magnetic-layer resistance). In the absence of the shunting effect, i.e., when the covering magnetic-layer thickness coincides with the thickness of the interfaces, interlayer, and basic magnetic layer, the value δ in a 'symmetric' three-layered film acquires its maximum value. In the case of an increase in the non-magnetic-layer thickness (interface thickness between the basic magnetic layer and the spacer), provided that the magnetic-layer thickness of the metal and the interfaces (magnetic-layer thickness of the metal, spacer, and interface between the overlapping magnetic layer and the interlayer) do not change, the magnetoresistance ratio decreases monotonically with an increase in the spacer (interface) thickness due to an increase in the scattering probability of the majority charge carriers within their volumes that leads to a decrease in the interplay between the magnetic layers due to the spin-polarized charge carriers and, as a result, to a decrease in the magnetoresistance ratio in a 'symmetric' magnetically-ordered sandwich.
KEY WORDS: magnetically ordered 'symmetric' sandwich, giant magnetoresistance effect, magnetoresistance ratio, generalized Dieny formula, shunting effect, interfaces, basic and covering magnetic layers, interlayer
Funding / Acknowledgments:
The work was supported by the grant of the Ministry of Education and Science of Ukraine for 2022–2024 (No. 0122U000785),
the WPI fellowships program for Ukrainian researchers (2023/2024),
and funded by the IEEE Magnetics Society (STCU Project No. 9918).
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