Temperature and density profiles of the accreted envelope as functions of column depth. (a) Temperature profiles for fixed hydrogen mass fraction (X_H,acc = 0.5) while varying accretion rate (﹩\dot{m}﹩) and metallicity (Z). (b) Temperature profiles at fixed accretion rate (﹩\dot{m}=0.2\,{\dot{m}}_{\mathrm{Edd}}﹩) for different X_H,acc and Z. (c) Corresponding density profiles for the same cases shown in panel (a). (d) Corresponding density profiles for the cases in panel (b). Refer to Table 1 for the system acronym and parameter space values. The circles indicate the ONEZONE ignition depth for each system following the process described in the text, while the endpoint of each profile corresponds to the SETTLE ignition depth.