Sound and Heat Absorption by a 2D Electron Gas in an Odd-Integer Quantized-Hall Regime

Details Sound and Heat Absorption by a 2D Electron Gas in an Odd-Integer Quantized-Hall Regime Sound and Heat Absorption by a 2D Electron Gas in an Odd-Integer Quantized-Hall Regime

1999-06-25

arxiv.org/abs/cond-mat/9906396v3

Phys. Rev. B 61, 5461 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

26 pages, 2 figures

Scientific paper

10.1103/PhysRevB.61.5461

The absorption of bulk acoustic phonons in a two-dimensional (2D) GaAs/AlGaAs heterostructure is studied (in the clean limit) where the 2D electron-gas (2DEG), being in an odd-integer quantum-Hall state, is in fact a spin dielectric. Of the two channels of phonon absorption associated with excitation of spin waves, one, which is due to the spin-orbit (SO) coupling of electrons, involves a change of the spin state of the system and the other does not. We show that the phonon-absorption rate corresponding to the former channel (in the paper designated as the second absorption channel) is finite at zero temperature ($T$), whereas that corresponding to the latter (designated as the first channel) vanishes for $T\to 0$. The long-wavelength limit, being the special case of the first absorption channel, corresponds to sound (bulk and surface) attenuation by the 2DEG. At the same time, the ballistic phonon propagation and heat absorption are determined by both channels. The 2DEG overheat and the attendant spin-state change are found under the conditions of permanent nonequilibrium phonon pumping.

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