Highly
effective doping in transition metal oxides is critical
to fundamentally overcome low carrier conductivity due to small polaron
formation and reach their ideal efficiency for energy conversion applications.
However, the optimal doping concentration in polaronic oxides such
as hematite has been extremely low, for example, less than a percent,
which hinders the benefits of doping for practical applications. In
this work, we investigate the underlying mechanism of low optimal
doping concentration with group IV (Ti, Zr, and Hf) and XIV (Si, Ge,
Sn, and Pb) dopants from first-principles calculations. We find that
novel dopant-polaron clustering occurs even at very low dopant concentrations
and resembles electric multipoles. These multipoles can be very stable
at room temperature and are difficult to fully ionize compared to
separate dopants, and thus they are detrimental to carrier concentration
improvement. This allows us to uncover mysteries of the doping bottleneck
in hematite and provide guidance for optimizing doping and carrier
conductivity in polaronic oxides toward highly efficient energy conversion
applications.