Hot-electron Effect in A Cylindrical Nanoshell

TL;DR

This paper derives a general expression for electron-phonon thermal power transfer in nanoscale systems, specifically analyzing a cylindrical nanoshell with confined phonons and 3D electrons, revealing temperature-dependent crossover behavior.

Contribution

It introduces a new analytical model for electron-phonon interactions in cylindrical nanoshells with confined phonons, applicable to metallic nanotubes.

Findings

Derived a general formula for thermal power transfer between electrons and D-dimensional phonons.

Identified a temperature crossover from T^3 to a modified T dependence at low temperatures.

Estimated material parameters for metallic nanotubes based on the model.

Abstract

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.