Extended Data Fig. 9: Demonstration of elastic tunnelling by comparing perturbing and non-perturbing tip potential in sample B.
From: Imaging work and dissipation in the quantum Hall state in graphene
a, Two probe R2p(r) in the case of non-perturbing \({V}_{{\rm{tg}}}=0.05{\rm{V}}\approx {V}_{{\rm{tg}}}^{{\rm{FB}}}\) showing essentially constant R2p(r). b, The corresponding Tdc(r) shows the current-induced temperature variation in the sample unperturbed by the tip at Vbg = −1.1 V (ν = −1.44), Vpg = −2 V and Idc = 1.75 µA. The increased temperature at the bottom-right corner is caused by heat diffusion from the hot spot at the nearby current contact. c, R2p(r) for Vtg = 3 V revealing the location of \(\dot{W}({\bf{r}})\) processes by perturbing the local work by \(\delta \dot{W}({\bf{r}})\) through enhanced backscattering. d, The corresponding Tdc(r) showing the temperature map mimicking the R2p(r) signal caused by the enhanced nonlocal heat release \(\dot{Q}\) due to tip-induced \(\delta \dot{W}({\bf{r}})\). e, Horizontal line cuts of Tdc(r) along the green and blue lines in b. The green data show a peak at the graphene boundary (dashed yellow line in b) followed by a slowly decaying tail into the bulk, whereas the blue data display no peak at the inner edge of the plunger gates, showing that the \(\dot{W}({\bf{r}})\) process there is elastic. f, Vertical line cut through the protrusion region showing peaks at the graphene boundaries with overlapping tails in the middle. The coloured dots are the intersection points of the lines.
