Inelastic neutron scattering from single crystal Zn under high pressure.

Abstract

Inelastic neutron-scattering experiments have been performed for single crystals of Zn under pressures up to 8.8 GPa at 300 K. The phonon modes q/${\mathit{q}}_{\mathrm{max}}$=\ensuremath{\xi}=0.075 and \ensuremath{\xi}=0.10 were measured in the transverse acoustic branch ${\mathrm{\ensuremath{\Sigma}}}_{3}$, where q=0 corresponds with the elastic constant ${\mathit{C}}_{44}$. The phonon energy showed a substantial hardening with increasing pressure. The experimental data below 6.8 GPa for \ensuremath{\xi}=0.075 yield a constant Gr\"uneisen mode ${\ensuremath{\gamma}}_{\mathit{i}}$=-ln${\mathrm{\ensuremath{\omega}}}_{\mathit{i}}$/lnV of 2.25 in good agreement with a previous calculation [H. Ledbetter, Phys. Status Solidi B 181, 81 (1994)]. Above 6.8 GPa, there is a very rapid increase of ${\ensuremath{\gamma}}_{\mathit{i}}$ which is indicative of the presence of a giant Kohn anomaly. This rapid divergence at high pressure indicates that a phonon softening may occur at pressures higher than 8.8 GPa caused by the collapse of the giant Kohn anomaly via an electronic topological transition (ETT). In an earlier M\"ossbauer Zn study at 4 K [W. Potzel et al., Phys. Rev. Lett. 74, 1139 (1994)], a drastic drop of the Lamb-M\"ossbauer factor was observed at 6.6 GPa, which was interpreted as being due to phonon softening, indicating this ETT had occurred. This paper also compares the compressibility data for single crystal Zn and Zn powder using neutron scattering. The results were found to be similar to an earlier x-ray Zn powder experiment [O. Schulte et al., High Pressure Res. 6, 169 (1991)]. \textcopyright{} 1996 The American Physical Society.