The
band structure of Yb14MgSb11 is tuned
by substituting the more earth-abundant cations, Ca and Ba, on the
four crystallographically distinct Yb sites (Yb13–x
Ca
x
BaMgSb11 (x = 1, 2, 3, 4, 5, 6)). Single crystals of composition
Yb9.7(2)Ca3.85(5)Ba0.29(4)Mg1.13(3)Sb11.0(1) were grown from Sn flux revealing
the cation site preferences. Magnetic measurements on this crystal
show paramagnetic behavior consistent with the presence of ∼0.85
Yb3+. High-purity samples (>98%) with compositions close
to nominal of Yb13–x
Ca
x
BaMgSb11 (x = 1–6)
were prepared by ball milling and spark plasma sintering. The carrier
concentration can be rationalized with the presence of Yb3+ for all samples and decreases as a function of x in a systematic fashion at room temperature and increases above
∼600 K for x = 3–6. The temperature
dependence of the carrier concentration can be understood considering
the electronic structure with a light and heavy band valence band
contributing to the properties and suggests the involvement of a localized
flat band or impurity state that is active with increasing amounts
of Ca. The effect of temperature leads to sustained high Seebeck coefficients
with low electrical resistivity arising from the transitioning of
the light to heavy band with localization of carriers in the flat
band or impurity state for Ca-rich compositions. Speed of sound measurements
show that the lattice stiffens with increasing x.
Despite the stiffening lattice, the thermal conductivity decreases
until x = 3, 4 at which point it increases slightly.
The x = 4 sample reaches a peak figure of merit (zT) of 1.32 at 1273 K while being 16% lighter by the molar
mass compared to Yb14MnSb11 thereby providing
a more power dense material.