Phonon Emission from a 2D Electron Gas: Evidence of Transition to the Hydrodynamic Regime

Physics – Condensed Matter

Scientific paper

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4 pages, 2 Postscript figures uuencoded with TeX file uses psfig macro. Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.77.1143

Using as a thermometer the temperature dependent magneto-transport of a two-dimensional electron gas, we find that effective temperature scales with current as $T_{\rm e} \sim I^a$, where $a=0.4 \pm 2\%$ in the {\it Shubnikov de-Haas} regime, and $0.53 \pm 2\%$ in both the {\it integer and fractional} quantum Hall effect. This implies the phonon energy emission rate changes from the expected $P\sim T^5$ to $P\sim T^4$. We explain this, as well as the dramatic enhancement in phonon emission efficiency using a hydrodynamic model.

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