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 (2)

• Topology induced anomalous defect production by crossing a quantum critical point
• Edge states induce boundary temperature jump in molecular dynamics simulation of heat conduction

Cited by in corpus (2)

• Thermal transport in nanostructures
• Topological phonon modes in filamentous structures