拓扑声子与声子霍尔效应

拓扑学与物理的结合是近几十年物理学蓬勃发展的一个新领域,它不仅活跃在量子场理论以及高能物理中,更广泛地存在于凝聚态物理体系中,包括量子(反常、自旋)霍尔效应和拓扑绝缘体(超导体)等.声子是凝聚态体系中热输运的主要载体;最近由于各种声子器件的发现,声子学得到了广泛的关注.本文介绍了声子的拓扑性质以及声子的霍尔效应现象,分别评述了在破坏时间反演对称、破坏空间反演对称、以及同时破坏时间和空间反演对称三种情况下所产生的声子霍尔效应、声子谷霍尔效应等相关物理研究进展.最后对拓扑学在其他声学体系中的应用做了简单介绍,并进一步讨论了其未来的发展方向.

Topological phonons and phonon Hall effects

The combination of topology and physics is a new field of physics development in recent decades. It is not only active in quantum field theory and high energy physics, but also widely exists in condensed matter physics, including quantum (anomalous, spin) Hall effect and topological insulators (superconductors) etc. Phonon, as the main carrier of heat transport in the crystal, recently, due to the discovery of various phonon devices, phonons has been widely concerned by scientist. In this paper, we introduce the topological properties of phonons and the phonon hall effect. We have reviewed the related physical research progress of phonon hall effect, phonon valley hall effect and so on, which are generated by breaking the time reversal symmetry, spatial inversion symmetry, both breaking the time and spatial inversion symmetry. Finally, the application of topology in other acoustic systems is briefly introduced, and the future development direction is discussed too.