R. Fletcher et al., HOT-ELECTRON TEMPERATURES OF 2-DIMENSIONAL ELECTRON GASES USING BOTH DEHAAS-SHUBNIKOV OSCILLATIONS AND THE ELECTRON-ELECTRON INTERACTION EFFECT, Physical review. B, Condensed matter, 45(12), 1992, pp. 6659-6669
The experiments described in this paper were undertaken to investigate
the possibility that cyclotron phonon emission plays a significant ro
le in the energy-loss rate of hot electrons in the liquid-He-4 tempera
ture range. Electron temperatures have been measured by the usual de H
aas-Shubnikov method, and also by a technique based on the temperature
dependence of the nonoscillatory magnetoresistivity, which is believe
d to arise from the electron-electron interaction effect (EEI). Combin
ing results from both methods should give a more or less continuous me
asurement of electron temperature as a function of magnetic field; how
ever, the method based on EEI is found to fail when omega(c)tau(q) > 1
/2; where omega(c) is the cyclotron frequency and tau(q) the quantum l
ifetime. For those samples where tau(q) is low, we deduce that cyclotr
on phonon emission plays no major role in energy loss, but the experim
ents give no information in this regard when tau(q) is high. When the
EEI method fails (i.e., omega(c)tau(q) > 1/2), then the nonoscillatory
resistivity is found to be influenced by both tau(q) and the lattice
temperature, and the electron temperature plays a lesser role, particu
larly when tau(q) is very high.