Hl. Zhao et Sc. Feng, ELECTRON-PHONON SCATTERING IN STRONG MAGNETIC-FIELDS AND THE TEMPERATURE SCALING BETWEEN QUANTUM HALL PLATEAUS, Physical review letters, 70(26), 1993, pp. 4134-4137
The electron-phonon scattering rate is calculated in a strong magnetic
field for a two-dimensional electron gas moving in a smooth random po
tential within the framework of semiclassical approximation. This inel
astic scattering rate is strongly influenced by the strong magnetic fi
eld and is found to be linear in temperature for a wide range of tempe
ratures, corresponding to an effective reduction of the Debye temperat
ure. Applying this result to the temperature scaling exponent kappa fo
r the width of the transition region between quantum Hall effect plate
aus, we argue that kappa = 3/7 is dictated by the inelastic scattering
rate and the percolation length, instead of the localization length.