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arXiv · 2604.22919

Delocalization transition for light in two dimensions

Sébastien Lucas·Christian Miniatura·Sergey E. Skipetrov
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Abstract

Common belief, confirmed by existing experiments, is that arbitrarily weak disorder should lead to spatial localization of eigenmodes of scalar wave equations when wave propagation is two-dimensional (2D). We predict that contrary to this belief, a localization-delocalization transition can take place for light scattered by two-level atoms placed at random positions in the middle plane of a parallel-plate 2D waveguide fed by its fundamental transverse-magnetic (TM) mode (electric field polarized perpendicular to the waveguide and atomic planes). This transition, driven by near-field dipole-dipole interactions between atoms, occurs upon increasing the areal number density of atoms beyond some critical value. A finite-size scaling analysis of the transition yields an estimate of its critical exponent ${\nu}$ = 1.4 $\pm$ 0.2.

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Sébastien Lucas, Christian Miniatura, Sergey E. Skipetrov. 2026-04-24. Delocalization transition for light in two dimensions. https://arxiv.org/abs/2604.22919

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