Abstract

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 DQ−1=aT+bD_Q^{-1}=aT+b. The slope aa is interpreted through the Planckian relaxation time τ≈ℏ/kBTτ\approx\hbar/k_BT and a thermal diffusion velocity vBv_B, which is close, but larger than the sound velocity. The intercept bb represent 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.

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