Thermal diffusivity above the Mott-Ioffe-Regel limit
We present high-resolution thermal diffusivity measurements on several near optimally doped electron- and hole-doped cuprate systems in a temperature range that passes through the Mott-Ioffe-Regel limit, above which the quasiparticle picture fails. Our primary observations are that the inverse thermal diffusivity is linear in temperature and can be fitted to $D^{-1}_Q = aT + b$. The slope a is interpreted through the Planckian relaxation time $τ ≈ ℏ/k_BT$ and a thermal diffusion velocity v B, which is close, but larger than the sound velocity. The intercept b represents a crossover diffusion constant that separates coherent from incoherent quasiparticles. These observations suggest that both phonons and electrons participate in the thermal transport, while reaching the Planckian limit for relaxation time.