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We investigate the stability of low-friction sliding of nanocrystal withrectangular atomic arrangement on rectangular lattices, for which analyticalresults can be obtained. We find that several incommensurate periodic orbitsexist and are stable against thermal fluctuations and other perturbations. Asincommensurate orientations lead to low corrugation, and therefore lowfriction, such incommensurate periodic orbits are interesting for the study ofnanotribology. The analytical results compare very well with simulations of Wnanocrystals on NaF(001). The geometry and high typical corrugation ofsubstrates with square lattices increase the robustness compared to typicalhexagonal lattices, such as graphite.

Stability of low-friction surface sliding of nanocrystals with rectangular symmetry and application to W on NaF(001)