We report phonon dispersion curves obtained at a $\mathrm{Mo}{\mathrm{S}}_2\left(0001\right)$ surface in the friction process with a load and shear. An atomic force microscope tip used to apply stresses generated lattice strain on an oscillating $\mathrm{Mo}{\mathrm{S}}_2\left(0001\right)$ surface, which dissipated via acoustic phonons. The dissipation energy of the phonons strongly depended on the size of the lattice strain. The motion of the acoustic phonons consisted of a longitudinal mode and a transverse mode, but the occurrence of their phonon modes depended on the crystallographic direction, which reflects the atomic arrangement of the $\mathrm{Mo}{\mathrm{S}}_2\left(0001\right)$ surface. Thus, we can control the energy dissipation and friction by using the phonon dissipation curves in the friction process with a load and shear.

• Received 2 November 2015
• Revised 25 April 2016

DOI:https://doi.org/10.1103/PhysRevB.93.201401