Mixed-valent states of rare-earth dopants in narrow-gap IV-VI semiconductor
s are analyzed. A theoretical approach to describing rare-earth-doped IV-VI
semiconductors is proposed in which the dopant is considered a strongly co
rrelated system, with electronic states coupled to conduction- and valence-
band states. The results are illustrated by the example of the Yb dopant, h
aving an almost-filled f shell. It is shown that the system can be describe
d by a narrow resonance level, whose position and width depend on the chemi
cal potential and band gap. The possibility of the formation of mixed-valen
t states is demonstrated.