in vertical direction in the RHEED pattern implies the improvement of flatness at the CFMS surface.

![(a) A Schematic of density of states ($D(E)$) for an ideal half metal alloy. (b) and (c) are the RHEED patterns for the samples S4 and S5, respectively, on MgO (100) substrate in the \[100\] and \[110\] azimuths. (d) Schematic of the setup for ISHE measurement, where *$h_{rf}$* is the *rf* magnetic field generated in a coplanar wave guide (CPW) perpendicular to the applied magnetic field (*H*).[]{data-label="fig1"}](fig1.png){width="45.00000%"}

Magnetic Damping {#magnetic-damping .unnumbered}
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Fig. \[fig2\](a) and (b) show the plots of resonance frequency (*f*) versus $H_r$ and $\Delta H$ versus *f*, respectively. Here, the values of $H_r$ and *$\Delta H$* were evaluated using FMR spectra (see fig. A1 in supplementary information). In order to evaluate the gyromagnetic ratio ($\gamma$) and effective demagnetization ($4\pi M_{eff}$), \[fig2\](a) was fitted to Kittel’s equation \[28\] given as:

$$\label{equation3}
    \it{f}=\frac{\gamma}{2 \pi} \sqrt{(H_K+H_r)(H_K +H_r + 4 \pi M_{eff})}$$

where $$\label{equation4}
    4 \pi M_{eff} = 4 \pi M_s + \frac{2K_S}{M_st_{FM}}$$

and $H_K$, $K_s$, $M_s$ $t_{FM}$, are anisotropy field, perpendicular surface magnetic anisotropy constant, saturation magnetization, and thickness of FM layer, respectively. $\alpha$ was evaluated by fitting data of Fig. \[fig2\](b) using the 