$\text{}^{119}$Sn Hyperfine Fields in RMn$\text{}_{6}$Sn$\text{}_{6}$ (R = Mg, Zr, Hf). Experimental and Theoretical Study

We performed both $\text{}^{119}$Sn Möossbauer experiments and electronic structure calculations using the Korringa-Kohn-Rostoker method on the hexagonal RMn$\text{}_{6}$Sn$\text{}_{6}$ (R = Mg, Zr, and Hf) compounds. According to previous neutron diffraction results two types of commensurate magnetic order are investigated: ferromagnetic for R = Mg and antiferromagnetic for R = Zr and Hf. From $\text{}^{119}$Sn Möossbauer measurements, high transferred hyperfine fields on the tin nuclei are observed. The H$\text{}_{hf}$ values are well supported by the Korringa-Kohn- Rostoker results. Moreover, the calculated μ$\text{}_{Mn}$ are in good agreement with the neutron diffraction data. When observing the density of states, ZrMn$\text{}_{6}$Sn$\text{}_{6}$ is found near semimetallic limit.