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Various intermetallic compounds harbor subtle electronic correlation effects.To elucidate this fact for the Fe-Al system, we perform a realistic many-bodyinvestigation based on the combination of density functional theory withdynamical mean-field theory in a charge self-consistent manner. A bettercharacterization and understanding of the phase stability of bcc-basedD0$_3$-Fe$_3$Al through an improved description of the correlated chargedensity and the magnetic-energy is achevied. Upon replacement of one Fesublattice by V, the Heusler compound Fe$_2$VAl is realized, known to displaybad-metal behavior and increased specific heat. We here document a charge-gapopening at low temperatures in line with previous experimental work. The gapstructure does not match conventional band theory and is reminiscent of(pseudo)gap charateristics in correlated oxides.

Quantum-Many-Body Intermetallics: Phase Stability of Fe$_3$Al and Small-Gap Formation in Fe$_2$VAl