Hot-electron Effect in A Cylindrical Nanoshell

A general expression for calculating the thermal power transferring from 3-dimensional electron to any D-dimensional phonon subsystem is derived in this paper. Electron-phonon coupling in a free suspended cylindrical nanoshell is studied, in which acoustic phonons are confined to quasi-one dimension but electrons behave three-dimensionally. The temperature dependence of the thermal power is obtained analytically, and the low-temperature crossover from the $T^{3}$ to $T^{3}/(1-\nu^2)+9\gamma T^4/[T^*(1-\nu^2)^{3/2}]$ dependence is also observed. The corresponding quantities are estimated for the material parameters from a metallic nanotube.