Autor: |
Zhang, Yin, Liu, Q., Miao, B. F., Ding, H. F., Wang, X. R. |
Rok vydání: |
2018 |
Předmět: |
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Zdroj: |
Phys. Rev. B 99, 064424 (2019) |
Druh dokumentu: |
Working Paper |
DOI: |
10.1103/PhysRevB.99.064424 |
Popis: |
The electrical detection of spin torque ferromagnetic resonance (st-FMR) is becoming a popular method for measuring the spin-Hall angle of heavy metals (HM). However, various sensible analysis on the same material with either the same or different experimental setups yielded different spin-Hall angles with large discrepancy, indicating some missing ingredients in our current understanding of st-FMR. Here we carry out a careful analysis of electrical signals of the st-FMR in a HM/ferromagnet (HM/FM) bilayer with an arbitrary magnetic anisotropy. The FM magnetization is driven by two radio-frequency (rf) forces: the rf Oersted field generated by an applied rf electric current and the so called rf spin-orbit torque from the spin current flowing perpendicularly from the HM to the FM due to the spin-Hall effect. By using the universal form of the dynamic susceptibility matrix of magnetic materials at the st-FMR, the electrical signals originated from the anisotropic magnetoresistance, anomalous Hall effect and inverse spin-Hall effect are analysed and dc-voltage lineshape near the st-FMR are obtained. Angle-dependence of dc-voltage is given for two setups. A way of experimentally extracting the spin-Hall angle of a HM is proposed. |
Databáze: |
arXiv |
Externí odkaz: |
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