TY  - JOUR
AU  - Huard, B.
AU  - Pothier, H.
AU  - Esteve, D.
AU  - Nagaev, K. E.
PY  - 2007
DA  - 2007//
TI  - Electron heating in metallic resistors at sub-Kelvin temperature
T2  - Phys. Rev. B
JO  - Phys. Rev. B
SP  - 165426(1
EP  - 9)
VL  - 76
KW  - electron heating in resistor
KW  - HEB distributed model
KW  - HEB model
KW  - 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.
UR  - http://dx.doi.org/10.1103/PhysRevB.76.165426
UR  - https://doi.org/10.1103/PhysRevB.76.165426
DO  - 10.1103/PhysRevB.76.165426
N1  - Recommended by Klapwijk as example for writing the article on the HEB model.
ID  - Huard_etal2007
ER  -