Knight Shift in Lead Telluride via Relativistic Augmented-Plane-Wave Functions

Abstract

The augmented-plane-wave method, including relativistic corrections, is used to calculate the Knight shift for ${\mathrm{Pb}}^{207}$ in $p$-type PbTe. The $s$ character is determined to be 0.59, and the hyperfine parameter to be 1.2 ${\mathrm{cm}}^{-1\mathrm{}}$. The spin paramagnetic susceptibility, including allowance for $g$-factor anisotropy, is found to be 5.8×${10}^{-8\mathrm{}}$-cgs units at 300°K, for a hole concentration of 1.5×${10}^{18}$ ${\mathrm{cm}}^{-3\mathrm{}}$. Under these conditions, the measured Knight shift is 2.34×${10}^{-3\mathrm{}}$. The calculated Knight shift is 2.0×${10}^{-3\mathrm{}}$.