A Thermometer for the 2D Electron Gas using 1D Thermopower

Details A Thermometer for the 2D Electron Gas using 1D Thermopower A Thermometer for the 2D Electron Gas using 1D Thermopower

1998-09-14

arxiv.org/abs/cond-mat/9809201v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages and 5 figures, To appear in Phys. Rev. Lett. Vol. 81 (Oct 12 issue)

Scientific paper

10.1103/PhysRevLett.81.3491

We measure the temperature of a 2D electron gas in GaAs from the thermopower of a one-dimensional ballistic constriction, using the Mott relation to confirm the calibration from the electrical conductance. Under hot electron conditions, this technique shows that the power loss by the electrons follows a $T^5$ dependence in the Gruneisen-Bloch regime, as predicted for acoustic phonon emission with a screened piezoelectric interaction. An independent measurement using conventional thermometry based on Shubnikov-de Haas oscillations gives a $T^3$ loss rate; we discuss reasons for this discrepancy.

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