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arXiv · 1007.4401

Mechanism of phonon localized edge modes

Jin-Wu Jiang·Jian-Sheng Wang
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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.

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Jin-Wu Jiang, Jian-Sheng Wang. 2010-07-26. Mechanism of phonon localized edge modes. https://doi.org/10.1103/physrevb.81.174117

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