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Angular Dependence of Transverse-Type Hall Magnetoresistance with Non-saturated Magnetization

Journal of Magnetics, Volume 28, Number 4, 31 Dec 2023, Pages 331-335
Minh Thanh Vu (University of Ulsan), Seongbin Seo (University of Ulsan), Wonyeong Choi (University of Ulsan), Jungmin Park (Korea Advanced Institute of Science & Technology), Ah-Yeon Lee (Korea Basic Science Institute), Thanh-Huong Thi Nguyen * (University of Ulsan), Sanghoon Kim * (University of Ulsan)
Abstract
Transverse-type magnetoresistances such as spin Hall magnetoresistance and orbital Hall magnetoresistance
are phenomena where the resistance of a bilayer consisting of a ferromagnet (FM) and a non-magnetic metal
(NM) changes due to the absorption and reflection of a spin current at the interface. However, accurately evaluating
the transverse MRs through angular dependence experiments becomes non-reliable when the magnetization
of the system is not fully saturated, often leading to underestimation. Here, we proposed a fitting method
that utilizes the standard expression for the total energy of the magnetic system to extract the MR value more
accurately. By applying this method to determine the MR amplitude in the Cr/Fe bilayer system, we demonstrate
that the extracted MR values in non-saturated cases are in good agreement with that obtained when the
magnetization is fully saturated. Our method could be applicable to obtain precise MR values for other systems
with similar properties, which is also useful for their further investigations.
Keywords: Spin Hall magnetoresistance; Orbital Hall magnetoresistance; angular dependence; non-saturated magnetization
DOI: https://doi.org/10.4283/JMAG.2023.28.4.331
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