Using tight binding representation of the layered systems grown along <0001> and <1-100> directions, we calculated the band structures (in Fig. 1) and wave functions (in the Fig. 2) for various ZnO slab layers with non-relaxed and non-reconstructed surfaces.  We show that dangling bonds on the two end-surfaces cause surface bands for different direction grown slabs.  Analyzing the wave functions across the layers, the surface states show a tendency toward surface localization.  Particularly, the splitting of the degenerate surface bands increase due to increasing overlap between their wave functions, which are localized on two nonpolar [1-100] end-surfaces, while it is not present for the [0001] finite well with polar end-surfaces.  Finally, we also found the extra electron-field due to the [0001] polar end-surfaces can effectively enhance the quantum confinement effect was shown in Fig. 3.

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