Losses in Monolayer Graphene Nanoresonators due to Joule Dissipation Caused by Synthetic Electric Fields and the ways of Joule Losses Minimizations

We consider losses in monolayer graphene nanoresonator connected with Joule dissipation (heating) caused by valley currents stipulated by synthetic electric fields . These synthetic electric fields arise in graphene membrane due to periodic in time gauge fields generated there by external periodic electromotive force. This mechanism accounts for essential part (about 40 percents) of losses in graphene nanoresonator and is specific just for graphene. The ways of the minimization of these Joule dissipation (increase of the quality-factor of the electromechanical system) are discussed. It is explained why one can increase quality-factor by correctly chosen combination of strains (by strain engineering). Besides it is shown that quality-factor can be increased by switching on a magnetic field perpendicular to graphene membrane.