Fig. 3: Comparison between electron heating (Te) and lattice heating (TL).

a 1D profiles of Te (red dots, taken with SNoiM) and TL (blue dots, taken with SThM) taken along the device of Fig. 1 at y = 0 with a bias voltage Vb = 8.0 V. The broken horizontal line shows the baseline for both Te and TL (ΔTe = ΔTL = 0 or Tbase = Te = TL = 300.8 K), where the vertical scales are given so that the peak heights agree to one another. b 1D profiles of Te and TL, similar to the data of a except that Vb = 3.0 V. c Theoretically derived curve of <Te> (red line) for Vb = 8.0 V reproduces the experimental Te-profile with the two-peak structure (red dots). The broken horizontal line marks the position of kBTbase with Tbase = 300.8 K. d Theoretically derived single peak structure of TL (blue line) reproducing the experimental profile (blue dots). The blue dotted curve represents the theoretically derived rate of energy loss due to LO-phonon scattering, PLO. The broken horizontal line marks the position of kBTbase with Tbase = 300.8 K for kBTL and zero for PLO.