title: Hot electrons and electron-phonon coupling in a cylindrical nanoshell.
abstract: 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 T3 dependence expected for one-dimensional phonons to a T3/(1 - v2) + 9gammaT4/[T*(1 - v2)(3/2)] dependence is obtained.
authors.affiliation: Institute of Theoretical and Computational Physics, School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Shi-Xian
authors.initials: SX
authors.lastname: Qu
authors.forename: Ya-Ni
authors.initials: YN
authors.lastname: Zhao
authors.forename: Lin
authors.initials: L
authors.lastname: Zhang
authors.forename: Michael R
authors.initials: MR
authors.lastname: Geller