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The structural and electronic properties of new structural cubic(GaN)$_1$/(ZnO)$_1$ superlattice have been investigated using two differenttheoretical techniques: the full potential-linearized augmented plane wave(FP-LAPW) method and the linear combination of localized pseudo atomic orbital(LCPAO). The new modified Becke-Johnson (mBJ) exchange potential is chosen toimprove the bandgap of the superlattice and effective masses. The bandgap isfound to be slightly indirect and reduced from those of pure GaN and ZnO. Theorigin of this reduction is attributed to the $p-d$ repulsion of the Zn-Ninterface and the presence of the O $p$ electron. The electron effective massis found to be isotropic. Good agreement is obtained between two used methodsand with available theoretical and experimental data.

Structural and Electronic properties of cubic (GaN)$_1$/(ZnO)$_1$ superlattice: Modified Becke-Johnson exchange potential