in the plane, the angular dependence of R$_\textup{xx}$ and R$_\textup{xy}$ take the following formulas [@McGuire1975]: $$R_\textup{xx} \propto \rho_\textup{T} +(\rho_\parallel - \rho_\textup{T})\textup{cos}^2\theta$$ $$R_\textup{xy} \propto (\rho_\parallel - \rho_\textup{T})\textup{sin} \theta \textup{cos}\theta$$ Equation (2) is known as anisotropic magnetoresistance (AMR) and Eq. (3) is known as planar Hall effect (PHE). Figures 7(a)-(b) plot the angular dependence of $R_\textup{xy}$ in magnetic fields up to 60 KOe. As the solid lines shown, R$_\textup{xy}$ can be well described by R$_1$sin$\theta$cos$\theta$, where R$_1$ is proportional to the difference between parallel and transverse resistance. The derived magnitude R$_1$ for all hybrids, including PLL2, PLLA2, and PLS2, are summarized as a function of magnetic field in Fig. 8 (a). For $T$ = 10 K, which is far below the Curie temperature of LCO film, R$_1$ is almost 7 times larger than that of 100 K. Such enhanced R$_1$ value is likely caused by the induced interfacial moments due to the magnetic proximity effect (MPE) at the Pt/LCO interface at low temperatures. It is noted that, at $T$ = 10 K, for $\mu_0$H $>$ 30 KOe, R$_1$ is linear in field, which is consistent with saturated field in the magnetization (see details in Fig. 2).

![(Color online) Temperature dependence of the 