Localization of light in a 3D disordered crystal of atoms.
2020
We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional (3D) ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field. The frequencies of the localized modes concentrate near band edges of the unperturbed lattice. Finite-size scaling analysis of the percentiles of Thouless conductance reveals two mobility edges and yields an estimation $\nu = 0.8-1.1$ for the critical exponent of the localization length. The localized modes disappear when the disorder becomes too strong and the system starts to resemble a fully disordered one where all modes are extended.
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