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At ambient temperatures, graphene conducts heat via lattice vibrations called phonons, but at very low temperatures, electron-phonon coupling becomes weak and thermal conductance is mostly due to electron diffusion. High-sensitivity measurements across a wide temperature range provide new, state-of-the-art data on electron-phonon coupling, and reveal intriguing deviations from theoretical predictions regarding electron-based thermal and electric transport.
Fong et al. (Tue,) studied this question.