声子
几何相位
拓扑绝缘体
物理
量子
量子霍尔效应
领域(数学)
拓扑(电路)
自旋(空气动力学)
量子自旋霍尔效应
拓扑序
凝聚态物理
量子力学
磁场
数学
组合数学
纯数学
热力学
作者
Yizhou Liu,Xiaobin Chen,Yong Xu
标识
DOI:10.1002/adfm.201904784
摘要
Abstract Effective manipulation of phonons is crucial to modern energy‐information science and technologies but limited by the charge neutral and spinless nature of phonons. Recently, novel quantum concepts, including Berry phase, topology, and pseudospin, are introduced to phonon systems, providing fundamentally new routes to control phonons, opening an emerging field of “topological phononics.” Here, the basic concepts of Berry phase, topology, and pseudospin for phonons are introduced. Also, recent research progresses on various phononic topological states are reviewed, including phononic Su‐Schrieffer‐Heeger‐like states in 1D, quantum anomalous Hall‐like states, quantum valley Hall‐like states, and quantum spin Hall‐like states in 2D, and phononic Weyl points, nodal lines, and topological insulators in 3D. In addition to the fundamental models, material realizations and potential applications of topological phononics are comprehensively presented.
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