  Electronic cloaking has been recently suggested to design invisible dopants
with electronic scattering cross sections smaller than 1% of the physical cross
section ( . Cloaking layers could be designed to coat nanoparticle dopants to
minimally scatter conduction electrons and to enhance the electronic mobility.
In some cases, such enhancements would result in larger thermoelectric power
factors. The main difficulty is the fact that the created potential upon
coating is not tunable and is determined by the band alignment of the chosen
materials for the core, the shell and the host as well as the charge
distribution in these layers. To find proper combinations of materials, one
needs to probe a large class of materials combinations and layer sizes. This
approach is time-consuming and impractical. Here we introduce a mapping method
to identify possible combinations by comparing the dimensionless parameters of
the chosen materials with the provided maps and without any transport
calculations. Using this approach, we have identified several combinations of
core, shell and host materials for which electronic cloaking is achievable. We
have optimized the size and doping level of some of these materials
combinations to maximize their thermoelectric power factor. Compared to
traditional impurity-doped samples, up to 14.50 times improvement in the
thermoelectric power factor was observed at T=77K.
