2010/05/25 by Jin-Wu Jiang, Jian‐Sheng Wang, Jian-Sheng Wang · 14 citations
Materials Science · Physics and Astronomy · #Boundary value problem #Computer science #Condensed matter physics #Diamond #Diamond cubic #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #Graphene #Ising model #Lattice (music) #Materials science #Mechanical and Optical Resonators #Phonon #Physics #Quantum mechanics #Square lattice #Thermal properties of materials #Topological Materials and Phenomena #Valence (chemistry) #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.81.174117
published in Physical Review B 81(17) (American Physical Society) · 5 pages, 8 figs
openalex publication_date 2010/05/25 · arxiv created 2010/07/26 · arxiv updated 2010/07/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 and (II) different boundary conditions in three directions. The generality of these two conditions is illustrated by different lattice structures: one-dimensional (1D) chain, two-dimensional (2D) square lattice, 2D graphene, three-dimensional (3D) simple cubic lattice, 3D diamond structure, etc., and with different potentials: valence force field model, Brenner potential, etc.