Cloaking the underlying long-range order of randomly perturbed lattices

How can we cloak the Bragg peaks of a lattice with random perturbations and will traces of the underlying long-range order persist nevertheless? Our affirmative answer to both questions has been published as an Editors’ Suggestion:

M. A. Klatt, J. Kim, S. Torquato. Cloaking the underlying long-range order of randomly perturbed lattices. Phys. Rev. E 101, 032118-1–9 (2020)

The Editors of Physical Review E have suggested our paper as a Highlight:
“When a regular lattice is perturbed, traces of the original lattice usually remain visible as Bragg peaks in the diffraction pattern. The authors of this paper consider uniformly randomized lattices and show that fine-tuned distributions of perturbations can hide the Bragg peaks. Interestingly, as the strength of the perturbations increases, long-range order oscillates and Bragg peaks appear and disappear.”

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