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Collective excitations in periodic, elastic arrangements of atoms or molecules in condensed matter, like solids and some liquids. They are quasiparticle quantum modes of vibration of elastic structures of interacting particles.

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Why haven't we found thermal superconductors?

understanding, thermal energy transfers occur either through the emission and absorption of photons given off an excited electron as it moves to a lower energy state, or electric field interactions of phonons
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