The Bragg glass phase, a nearly perfect crystal with glassy features, is challenging to detect despite its sharp theoretical definition. This paper presents bulk probe evidence supporting a Bragg glass phase in the disordered charge-density-wave material PdxErTe3 using comprehensive X-ray data and a machine-learning analysis tool (X-TEC). A diverging correlation length is established in moderately intercalated samples over a wide temperature range, enabled by a high-throughput measure of inverse correlation length called "peak spread." This detection advances understanding of the interplay between disorder and fluctuations, and the analysis technique may revolutionize the study of fluctuations in scattering experiments.

Krishnanand Mallayya, Joshua Straquadine, Matthew J. Krogstad, Maja D. Bachmann, Anisha G. Singh, Raymond Osborn, Stephan Rosenkranz, Ian R. Fisher, Eun-Ah Kim