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By using the dyadic Green's matrix spectral method, we demonstrate thataperiodic deterministic Vogel spirals made of electric dipoles support lightlocalization in three dimensions, an effect that does not occur in traditionaluniform random media. We discover a light localization transition in Vogelspiral arrays embedded in three-dimensional space by evaluating the Thoulessconductance, the level spacing statistics, and by performing a finite-sizescaling. This light localization transition is different from the Andersontransition because Vogel spirals are deterministic structures. Moreover, thistransition occurs when the vector character of light is fully taken intoaccount, in contrast to what is expected for traditional uniform random mediaof point-like scatterers. We show that light localization in Vogel arrays is acollective phenomenon that involves the contribution of multiple length scales.Vogel spirals are suitable photonic platforms to localize light thanks to theirdistinctive structural correlation properties that enable collectiveelectromagnetic excitations with strong light-matter coupling. Our resultsunveil the importance of aperiodic correlations for the engineering of photonicmedia with strongly enhanced light-matter coupling compared to the traditionalperiodic and homogeneous random media.

Light Localization and Cooperative Coupling Effects in Aperiodic Vogel Spirals