  We phenomenologically calculate the performance of the recently-observed
Seebeck-driven transverse thermoelectric generation (STTG) [W. Zhou et al. Nat.
Mater. (2021), doi:10.1038/s41563-020-00884-2] for various systems in terms of
the thermopower, power factor, and figure of merit to demonstrate the
usefulness of STTG. The STTG system consists of a closed circuit comprising
thermoelectric and magnetic materials which exhibit the Seebeck and anomalous
Hall effects, respectively. When a temperature gradient is applied to the
hybrid system, the Seebeck effect in the thermoelectric material layer
generates a longitudinal charge current in the closed circuit and the charge
current subsequently drives the anomalous Hall effect in the magnetic material
layer. The anomalous Hall voltage driven by the Seebeck effect has a similar
symmetry to the transverse thermoelectric conversion based on the anomalous
Nernst effect. We find that the thermoelectric properties of STTG can be much
better than those of the anomalous Nernst effect by increasing the Seebeck
coefficient and anomalous Hall angle of the thermoelectric and magnetic
materials, respectively, as well as by optimizing their dimensions. We also
formulate the electronic cooling performance in the STTG system, confirming the
reciprocal relation for the hybrid transverse thermoelectric conversion.
