Warm electron system in the n-AlGaAs/GaAs two-dimensional electron gas

The energy relaxation time τε and the critical electron temperature Tc in the warm electron system of the AlGaAs/GaAs two-dimensional electron gas is studied. The critical electron temperature Tc is defined as the electron temperature where the electric field dependence of the electron mobility begins to have a higher term than the quadric term. Simple formulas are presented for giving τε and Tc from the warm electron experimental results. The calculated values of τε agree with the other reported results. The experimental relation between the lattice temperature T and the critical electron temperature Tc is expressed as Tc=1.5 T.