# Transport Phase Diagram and Anderson Localization in Hyperuniform Disordered Photonic Materials

## TL;DR

This paper explores photon transport in hyperuniform disordered photonic materials, revealing a transport phase diagram that includes Anderson localization, band gaps, and tunneling regimes based on material correlations.

## Contribution

It introduces a transport phase diagram for hyperuniform disordered photonic materials, highlighting the transition from localization to bandgap crossing.

## Key findings

- Demonstrates Anderson localization in 2D stealthy HDPM.
- Identifies a transition from localization to bandgap crossing.
- Proposes a unified transport phase diagram based on correlation degree.

## Abstract

Hyperuniform disordered photonic materials (HDPM) are spatially correlated dielectric structures with unconventional optical properties. They can be transparent to long-wavelength radiation while at the same time have isotropic band gaps in another frequency range. This phenomenon raises fundamental questions concerning photon transport through disordered media. While optical transparency is robust against recurrent multiple scattering, little is known about other transport regimes like diffusive multiple scattering or Anderson localization. Here we investigate band gaps, and we report Anderson localization in two-dimensional stealthy HDPM using numerical simulations of the density of states and optical transport statistics. To establish a unified view, we propose a transport phase diagram. Our results show that, depending only on the degree of correlation, a dielectric material can transition from localization behavior to a bandgap crossing an intermediate regime dominated by tunneling between weakly coupled states.