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We investigate the localization-delocalization transition (LDT) in anelectromagnetically induced photonic lattice. A four-level tripod-type schemein atomic ensembles is proposed to generate an effective photonic moir\'{e}lattice through the electromagnetically induced transparency (EIT) mechanism.By taking advantage of the tunable atomic coherence, we show that both periodic(commensurable) and aperiodic (incommensurable) structure can be created insuch a photonic moir\'{e} lattice via adjusting the twist angle between twosuperimposed periodic patterns with square primitive. Furthermore, we also findthat by tuning the amplitudes of these two superimposed periodic patterns, thelocalization-delocalization transition occurs for the light propagating in theaperiodic moir\'{e} lattice. Such localization is shown to link the fact thatthe flat bands of moir\'{e} lattice support quasi-nondiffracting localizedmodes and thus induce the localization of the initially localized beam. Itwould provide a promising approach to control the light propagation via theelectromagnetically induced photonic lattice.

Localization-delocalization Transition in an electromagnetically induced photonic lattice