“…Figure S9 displays the maximum output power density (P max , eq ) and specific output power density (P max /ΔT 2 , eq ). The P max greatly increases from 2.01 to 15.4 mW/m 2 , and the related formulas are as follows: where A, σ, d, and R 0 are the cross-sectional area, conductivity, effective length, and internal resistance of the APTH, respectively. In addition, V oc = S c ΔT, so eq can be expressed as and then …”