Mechanism of phonon localized edge modes

Abstract

The phonon localized edge modes are systematically studied, and two conditions are proposed for the existence of the localized edge modes: (I) coupling between different directions ($x$, $y$ or $z$) in the interaction; (II) different boundary conditions in three directions. The generality of these two conditions is illustrated by different lattice structures: one-dimensional (1D) chain, 2D square lattice, 2D graphene, 3D simple cubic lattice, 3D diamond structure, etc; and with different potentials: valence force field model, Brenner potential, etc.

5 pages, 8 figs

References in corpus (6)

• Topological phonon modes and their role in dynamic instability of microtubules
• Topology induced anomalous defect production by crossing a quantum critical point
• Edge states induce boundary temperature jump in molecular dynamics simulation of heat conduction
• A new type of vacancy-induced localized states in multilayer graphene
• Molecular dynamics with quantum heat baths: results for nanoribbons and nanotubes
• Localization of Phonons in Two Component Superlattice with Random Thicknesses of the Layers

Cited by in corpus (5)

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• Manipulation of Dirac Cones in Mechanical Graphene
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• Topological phonon modes in filamentous structures
• Topological effect on thermal conductivity in graphene