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Nonlinearities are inherent to the dynamics of two-dimensional materials.Phenomena like intermodal coupling already arise at amplitudes of only a fewnanometers, and a range of unexplored effects still awaits to be harnessed.Here, we demonstrate a route for generating mechanical frequency combs ingraphene resonators undergoing symmetry-breaking forces. We use electrostaticforce to break the membrane's out-of-plane symmetry and tune its resonancefrequency towards a two-to-one internal resonance, thus achieving strongcoupling between two of its mechanical modes. When increasing the drive level,we observe splitting of the fundamental resonance peak, followed by theemergence of a frequency comb regime. We attribute the observed physics to anon-symmetric restoring potential, and show that the frequency comb regime ismediated by a Neimark bifurcation of the periodic solution. These resultsdemonstrate that mechanical frequency combs and chaotic dynamics in 2D materialresonators can emerge near internal resonances due to symmetry-breaking.

Symmetry-breaking induced frequency combs in graphene resonators