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.

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• Quantum transport
• 1-dimensional systems
• Tight-binding model