The following work presents a theoretical workflow to
accelerate
the discovery of new quaternary Heusler compounds for thermoelectric
applications. The process consists of several steps: (i) construction of a consistent home-made DFT learning database with
a limited set of compounds mainly involving unary, binary, and ternary
configurations; (ii) machine-learning regression
to estimate the heat of formation for all possible arrangements of
atoms in the 4 crystallographic sites of the Heusler phase; (iii) classification learning to predict the semiconductor
(SC) feature; (iv) verification of stable SC compounds
through a convex hull analysis of the ground state for each quaternary
system; and (v) phonon calculation to check the mechanical
stabilities of the final candidates. From a selection of 24 chemical
elements, 13 272 unique DFT calculations were performed among
all 244 = 331 776 configurations. The learning and
screening process led to predict the properties of all quaternaries
(24 × 23 × 22 × 21 = 255 024) along with the
discovery of 8 new stable semiconducting compounds (TaAlCoMn, TaSiFeMn,
NbAlCoMn, NbSiFeMn, ···), promising potential interest
in thermoelectric properties.