Hall effect and magnetic ordering in RB 12

The concentration of carriers in Lu B 12 is evaluated theoretically by applying ab initio FP-LMTO calculations. Theoretical results are found to be in agreement with high-precision measurements of the Hall coefficient R H ( T ) carried out on single crystals of the rare-earth dodecaborides RB 12 ( R = Ho , Er , Tm , Lu ) at temperatures 1.8 – 300 K . The nature of the antiferromagnetic ordering in RB 12 is investigated within an RKKY-like model supplemented by comprehensive electronic structure calculations for paramagnetic, ferromagnetic, and antiferromagnetic phases.