Mechanism of phonon localized edge modes

Details Mechanism of phonon localized edge modes Mechanism of phonon localized edge modes

2010-07-26

arxiv.org/abs/1007.4401v1

Phys. Rev. B 81, 174117 (2010)

Physics

Condensed Matter

Materials Science

5 pages, 8 figs

Scientific paper

10.1103/PhysRevB.81.174117

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.

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