Abstract
The room-temperature thermal diffusivity of high Tc materials is dominated by phonons. This allows the scattering of phonons by electrons to be discerned. We argue that the measured strength of this scattering suggests a converse Planckian scattering of electrons by phonons across the room-temperature phase diagram of these materials. Consistent with this conclusion, the temperature derivative of the resistivity of strongly overdoped cuprates is noted to show a kink at a little below 200 K that we argue should be understood as the onset of a high-temperature Planckian T-linear scattering of electrons by classical phonons. This kink continuously disappears toward optimal doping, even while strong scattering of phonons by electrons remains visible in the thermal diffusivity, sharpening the long-standing puzzle of the lack of a feature in the T-linear resistivity at optimal doping associated with the onset of phonon scattering.
Highlights
The thermal conductivity of conventional metals at room temperature obeys the Wiedemann–Franz law[1]. This establishes that heat transport is dominated by electrons and that the electronic scattering is elastic
As in conventional metals, over important parts of the phase diagram the resistivity is T-linear with a Planckian scattering rate[9,10,11,12,13,14]
Again, demonstrates the occurrence of strong electron–phonon interactions
Summary
The thermal conductivity of conventional metals at room temperature obeys the Wiedemann–Franz law[1] This establishes that heat transport is dominated by electrons and that the electronic scattering is elastic. At these temperatures, phonons have every right, as in conventional metals, to be the cause of this Planckian scattering (or, at least, to contribute to it significantly). This gives direct evidence for the occurrence of strong electron–phonon interactions. The role of electron–phonon scattering has been well-characterized in the semiconductors, supporting our general discussion
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