PPMS systems. In comparison, the electrical resistivity of LCO/LAO and LCO/LSAT films are much smaller than LCO/STO film, but they also exceed the measurement limit below 170 K and 220 K, respectively. Above these measurable temperatures, the electrical resistivity of LCO films can be formulated by $\rho$ = $\rho_0$ e$^{\varepsilon/\textup{k}_BT}$ (see solid black lines in the inset of Fig. 3), where $\varepsilon$ and k$_\textup{B}$ are activation energy and Boltzmann constant. The estimated energy gaps are $\varepsilon$ = 149.87 meV, 205.36 meV, and 300.04 meV for LCO/LAO, LCO/LSAT, and LCO/STO, respectively. Thus, the transport properties of Pt/LCO hybrids are only associated with Pt films below there temperatures.

![(Color online) (a) The R$_\textup{EHR}$ as a function of temperature for PLL2, PLLA2, and PLS2 hybrids. (b) Thickness dependence of R$_\textup{EHR}$ for PLL, PLLA, and PLS hybrids at 2 K. The inset of (b) plots the R$_\textup{EHR}$ versus 1/t$_\textup{Pt}$. All R$_\textup{EHR}$ are averaged by \[R$_\textup{EHR}$(7 T)- R$_\textup{EHR}$(-7 T)\]/2. The “star” symbols represent the data derived from the fitting results in Fig. 7(b). The dashed lines are guide to the eyes. The error bars are a result of subtracting ordinary Hall resistance in different field ranges.[]{data-label="fig6"}](Fig6.eps){width="3.2in"}

Transverse Hall resistance of Pt/LCO hybrids
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As shown 