Hot Electrons and Electron-Phonon Coupling in a Cylindrical Nanoshell
We use a standard model for the low-temperature electron-phonon interaction in metals to calculate the rate of thermal energy transfer between electrons and acoustic phonons in suspended metallic nanoshells. The electrons are treated as three-dimensional and noninteracting, whereas the vibrational modes are that of an thin cylindrical elastic shell of radius R with a free surface and thickness h. Disorder is neglected. The temperature dependence of the thermal power is obtained analytically for this model, and a crossover from the T 3 dependence expected for one-dimensional phonons to a T 3/(1 – ν 2) + 9γ T 4/[T*(1 – ν 2)3/2]dependence is obtained.
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Document Type: Research Article
Publication date: 2011-11-01
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