2020/07/31 by S. E. Skipetrov
Computer Science · Mathematics · Physics and Astronomy · #Anderson localization #Condensed matter physics #Conductance #Diamond #Exponent #Geometry #Lattice (music) #Materials science #Mathematics #Neural Networks and Reservoir Computing #Optical lattice #Physics #Quantum optics and atomic interactions #Random lasers and scattering media #Scaling #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.102.134206
published as Phys. Rev. B 102, 134206 (2020) · Revised and extended version (14 pages, 7 figures)
arxiv created 2020/09/25 · openalex publication_date 2020/10/12 · arxiv updated 2020/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional 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 \ensuremathν=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.