Moiré phonons in the twisted bilayer graphene

Abstract

We study the in-plane acoustic phonons in twisted bilayer graphenes using the effective continuum approach. We calculate the phonon modes by solving the continuum equation of motion for infinitesimal vibration around the static relaxed state with triangular domain structure. We find that the moiré interlayer potential only affects the in-plane asymmetric modes, where the original linear dispersion is broken down into miniphonon bands separated by gaps, while the in-plane symmetric modes with their linear dispersion are hardly affected. The phonon wave functions of asymmetric modes are regarded as collective vibrations of the domain-wall network, and the low-energy phonon band structure can be qualitatively described by an effective moiré-scale lattice model.

10 pages, 7 figures

References in corpus (14)

• Flat Bands in Slightly Twisted Bilayer Graphene
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Finite temperature lattice properties of graphene beyond the quasiharmonic approximation
• Origin of band gaps in graphene on hexagonal boron nitride
• Numerical studies of confined states in rotated bilayers of graphene
• Phonon dispersions and vibrational properties of monolayer, bilayer, and trilayer graphene
• The structural properties of the multi-layer graphene/4H-SiC(000-1) system as determined by Surface X-ray Diffraction
• The crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the "magic angle" $\theta \sim 1.08^{\circ }$
• Spontaneous Strains and Gap in Graphene on Boron Nitride
• Commensurate-incommensurate phase transition in bilayer graphene
• Structure of twisted and buckled bilayer graphene
• Electronic structure of spontaneously strained graphene on hexagonal Boron Nitride

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