Thermalization and possible signatures of quantum chaos in complex crystalline materials
Significance Quantum chaos has been suggested as a framework to understand transport of charge excitations in strongly correlated electron systems exhibiting the “strange metal” state without long-lived quasiparticle excitations. Identifying a characteristic local scrambling time and a velocity by which perturbation propagates into nonlocal degrees of freedom, a chaos diffusivity is identified and related to the measured charge and energy diffusivities. Here we scrutinize the underlying hypothesis that lattice dynamics can be ignored, particularly at high temperatures, where many phonon bands and their interactions dominate the thermal transport in complex materials. We argue that much of the chaotic behavior, which is also identified in complex insulators, originates from phonons, and in equivalent itinerant systems only the thermal (energy) diffusivity describes chaos diffusivity.