# Ferromagnetic thin film and spin current (6) -Angular dependence (2) -

• Summary

## ER190007E

The inverse spin-Hall effect generates the electric charge current JC (electro motive force) toward the direction of vector product of the spin current (JS) and the magnetization (σ), as expressed in eq. (1).

$Jc//{J}_{s}×\sigma$　(1)

Therefore, polarity of the electro motive force also inverts as a magnetic direction against the sample inverts. It is an interesting property that the angular dependence of the inverse spin-Hall electro motive force shows the extremely different behavior from the ordinal FMR one.

## Sample and method

FMR spectra were measured with the step size of 15 degree against the applied magnetic field using the angular rotation device (ES-UCR3X in Fig. 1).
The sample was the same metallic bilayer thin film reported on JEOL application note[1].

Fig. 1　ES-UCR3X (Angular rotation device).

## The angular dependence of the VISHE spectra

The dependence of VISHE signal on the magnetic field shows a drastic inverting phenomena, as shown in Fig. 2. This is clearly different from FMR behavior. Substituting the obtained parameters from the angular experiment of FMR to eq. (2), the behavior of VISHE against the angular can be simulated[2, 3].

Set Parameters & Conditions

 Sample Py(Ni78Fe22)/Pd Angle [deg.] 0-360 Temp. Room Temp.(26C) NW Frequency [MHz] 9441.523 MW Power [mW] 160 Ho [mT] Sweep width 150mT(corrected by Mn2+) Mod. Width [mT] 0.0002/0.1 Mod. Freq. [kHz] 100 Mod. Phase [deg.] 0 Sweep Time [s] 30 Acc. 8 Amp. Gain 10(FMR) ISHE 40 dB(CA-261F2)+0.6uF(LPF)→CN115 Tc [s] 0.01
Fig. 2　 an experimental result and analysis of the angular dependence of VISHE spectra.

## References

[1] JEOL RESONANCE Inc. Application note No. ER190002
[2] K. Ando, Y. Kajiwara, S. Takahashi, S. Maekawa, K. Takemoto, M. Takatsu, and E. Saitoh, Phys. Rev. B, 78(2008) , 014413.
[3] K. Ando, S. Takahashi, J. Ieda, Y. Kajiwara, H. Nakayama, T. Yoshino, K. Harii, Y. Fujikawa, M. Matsuo, S. Maekawa, and E. Saitoh, J. Appl. Phys. 109(2011), 103913.