The modulation of friction by applying external fields is an important issue of nanotribology. Using the tip-graphene (Tip/Gr) and graphene-graphene (Gr/Gr) contact systems as two representative models, the present work aims to investigate the modulation effect of electric field on friction and to identify the underlying regulation mechanisms. Through first-principles computations, the frictional behavior of each system under the action of electric field turns out to be non-monotone. This is in sharp contrast with what happens when temperature or strain is used as the external modulation field. To understand the mechanisms giving rise to the non-monotone variation of friction with the applied electric field strength, first-principles calculations have further conducted to determine the binding energy, van der Waals energy, electrostatic energy and interfacial charge density of each system, which are the main determinant quantities for friction. From mechanistic analysis of the data obtained about these quantities, it follows that: (i) all the studied quantities aforementioned vary non-monotonically with the applied electric field strength; (ii) friction is regulated essentially by the interfacial charge density redistribution due to the applied electric field; (iii) the distinct spatial contact degrees of freedom of the two contact systems make that the sensitivities of their frictional behaviors to the applied electric field are different. The main results obtained in this work, which deviate from the usually admitted monotonic modulation of friction by electric field, can be used, in particular, for the active and efficient control of the friction in nano-devices.
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