Nonlinear phononics using atomically thin membranes

Abstract

Phononic crystals and acoustic meta-materials are used to tailor phonon and sound propagation properties by facilitating artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence wave propagation and, more generally, allow engineering of the acoustic properties of a system. Beyond that, nonlinear phenomena in periodic structures have been extensively studied in photonic crystals and atomic Bose-Einstein Condensates in optical lattices. However, creating nonlinear phononic crystals or nonlinear acoustic meta-materials remains challenging and only few examples have been demonstrated. Here we show that atomically thin and periodically pinned membranes support coupled localized modes with nonlinear dynamics. The proposed system provides a platform for investigating nonlinear phononics.

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• Phonon Josephson Junction with Nanomechanical Resonators
• Localized Surface Plasmons in Vibrating Graphene Nanodisks
• Calculating Floquet states of large quantum systems: A parallelization strategy and its cluster implementation
• Quantum simulation of the Anderson Hamiltonian with an array of coupled nanoresonators: delocalization and thermalization effects
• Valence force model and nanomechanics of single-layer phosphorene
• Nonlinear effects in locally-resonant nanostrip phononic metasurface at GHz frequencies