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Hot electrons and energy transport in metals at millikelvin temperatures

M. L. RoukesLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853M. R. FreemanLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853R. S. GermainLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853Robert C. RichardsonLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853M. B. KetchenLaboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853
1985en
ABI

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Using a new technique, we measure the energy-loss lifetime for electrons in a metal from 25 to 320 mK. Applying a small electric field, of order 1 \ensuremath{\mu}V/cm at 25 mK, causes carriers to heat above the temperature of the phonon bath. The temperature difference induced reflects the rate of energy transport between the electrons and lattice. The 1-ms energy-loss lifetime and 1-cm inelastic diffusion length we have measured at 25 mK are the largest ever obtained.

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