PT Journal
AU Huard, B
   Pothier, H
   Esteve, D
   Nagaev, KE
TI Electron heating in metallic resistors at sub-Kelvin temperature
SO Phys. Rev. B
JI Phys. Rev. B
PY 2007
BP 165426(1
EP 9)
VL 76
DI 10.1103/PhysRevB.76.165426
DE electron heating in resistor; HEB distributed model; HEB model; hot electrons
AB In the presence of Joule heating, the electronic temperature in a metallic resistor placed at sub-Kelvin temperatures can significantly exceed the phonon temperature. Electron cooling proceeds mainly through two processes: electronic diffusion to and from the connecting wires and electron-phonon coupling. The goal of this paper is to present a general solution of the problem in a form that can easily be used in practical situations. As an application, we compute two quantities that depend on the electronic temperature profile: the second and the third cumulant of the current noise at zero frequency, as a function of the voltage across the resistor. We also consider time-dependent heating, an issue relevant for experiments in which current pulses are used, for instance, in time-resolved calorimetry experiments.
ER