see Fig. \[TEP\]. This demonstrates clearly a strong correlation of the jumps with the existence of the BL, and was interpreted as due to the magnetic inhomogeneity induced by the BL strain [@Liu03]. Similar TEP jump with the magneto-TEP effect has been observed in the thin film CMR manganites also [@Jaime96; @Jaime99]. The substrate strain unavoidably caused the magnetic inhomogeneity in the sample. Under the applied magnetic field, the inhomogeneous magnetic component has been reduced. The TEP jump was therefore suppressed to show the magneto-TEP effect.

Discussion
==========

The non-magnetic, insulating YSZ component intermixing in the LCMO causes variations in the magnetic and transport properties of the manganites. Most of the interesting features in the physical properties under current investigations are strongly correlated with the LCMO/YSZ BL. Several effects would be introduced on the samples by the existence of the BL. However, only a leading one is accounted for the observed x dependence. The strain induced by the BL would be the major factor identified in the present work.

Usually, the effect of strain on the physical properties of the manganites, especially on the $T_C$ variations, is studied with the films. However, for thickness under a few hundred nanometers, the finite size confinement effect would become important to superimpose on the effect of strain. With the substrate strain, the interface magnetic inhomogeneity has been directly observed by the techniques of NMR [@Bibes01] or X-ray photoemission spectroscopy [@Dulli00]. Nonetheless, for these films, the finite size effect seems to be the leading factors in the depression of $T_C$, dominating the effect of strain under discussion. Fig. \[FiniteSize\] displays the shift of $T_C$ versus film thickness, $d$, summarized from many of the previous experiments for various thin films grown on different substrates[@Bibes01; @Andres03; @Gupta96; @Bibes02; @Campillo01; @Snyder96; @Huhtinen02; @Xiong96; @Rao98]. The results follows very well the l