“…For the purpose of generality, we show results under various doping concentrations {2, 6, 11}wt% (green, red, and black solid lines), corresponding to different SPP frequencies and bandwidths [49]. In particular, we consider a situation in which the boundary I of nanorod a is kept at T I = 800 K while the entire nanorod b is held at T b = 300 K (through contact with a room-temperature reservoir), and assume an AZO thermal conductivity of κ = 1 W/m · K [48]. The temperature along the x-y cross section is nearly uniform and therefore only shown in the case of 11 wt% (inset), a consequence of the faster heat diffusion associated with l << t. In all scenarios, the temperature gradient is significantly larger in the case of nanorods (solid lines) than for slabs (t → ∞, dashed lines), becoming nearly an order of magnitude larger in the case of 6 wt%, whose SPP frequency is much higher than the peak Planck wavelength at T = 800 K. More interestingly, we find that while slabs exhibit linear temperature profiles (since RHT is dominated by surface emission [50]), the bulk and delocalised nature of RHT in the case of nanorods leads to visibly nonlinear temperature distributions.…”