Negative magnetoresistance and s-f scattering in Pb$_{1-x}$Eu$_{x}$Se*

PbSe is cost effective over PbTe and has been a good potential p-type thermoelectric material, showing zT $>$1.\footnote{Yeseul Lee et al., J. Am. Chem. Soc. 135, 2013, 5152-5160.} Also, addition of Eu increases the band gap.\footnote{Arnim Lambrecht et al., J. Cryst. Growth 108, 1991, 301-308.} The valence band of Pb$_{1-x}$Eu$_{x}$Se appears theoretically favorable generating degeneracy between L-points and $\Sigma$-points. Here, we synthesize and characterize p-type doped Pb$_{1-x}$Eu$_{x}$Se:Na using combination of co-melting and Spark Plasma Sintering methods. Thermoelectric, thermomagnetic, and galvanomagnetic properties (electrical resistivity, Seebeck, and Hall) are measured and reported, along with Magnetization and Magnetoresistance. We found out that magnetic scattering is dominant in Pb$_{1-x}$Eu$_{x}$Se, showing negative magnetoresistance.