“Effective Delocalization in the One-Dimensional Anderson Model with Stealthy Disorder” Published in Physical Review Letters Categories News Date/Time April 14, 2026 - 1:14 pm Author Julia Kazmierczak Read the full paper: here Link to the journal: here See link to a popular account of the work here We analyze the 1D Anderson model with stealthy disorder, defined by a power spectrum that vanishes over a continuous band of wave numbers. Perturbative expansion of the self-energy and numerical results show that for small disorder \(W\) and prescribed stealthiness \(\chi\), the system is effectively delocalized, i.e., the localization length \(\xi\) exceeds large system sizes. This unusual behavior follows from the systematic cancellation of leading terms so that \(\xi\) scales as \(W^{-2n}\) with large \(n\). Since the underlying mechanism depends only on the stealthy disorder, our findings also apply to photonic and phononic waves.
