Elastic analog of graphene: Dirac cones and edge states for flexural waves in thin plates

被引：159

作者：

Torrent, Daniel ^{[1
]}

Mayou, Didier ^{[2
]}

Sanchez-Dehesa, Jose ^{[1
]}

机构：

[1] Univ Politecn Valencia, Wave Phenomena Grp, ES-46022 Valencia, Spain

[2] Univ Grenoble 1, CNRS, Inst Neel, F-38042 Grenoble, France

来源：

PHYSICAL REVIEW B | 2013年 / 87卷 / 11期

关键词：

COLLOQUIUM;

D O I：

10.1103/PhysRevB.87.115143

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An elastic analog of graphene is introduced and analyzed. The system consists of a honeycomb arrangement of spring-mass resonators attached to a thin elastic layer, and the propagation properties of flexural waves along it is studied. The band-structure calculation shows the presence of Dirac points near the K point of the Brillouin zone. Analytical expressions are found for both Dirac frequency and velocity as a function of the resonator's parameters. Finally, the bounded modes of infinitely long ribbons of this honeycomb arrangement are analyzed. The presence of edge states, which are studied using multiple scattering theory, is shown. It is concluded that these structures can be used to control the propagation of flexural waves in thin plates. DOI: 10.1103/PhysRevB.87.115143

引用

页数：8

共 36 条

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