Chiral phonons in the honeycomb sublattice of layered CoSn-like compounds

蜂巢 材料科学 之字形的 格子(音乐) 布里渊区 电子能带结构 上部结构 电子结构 电子 准晶
作者
Andrzej Ptok,Aksel Kobiałka,Małgorzata Sternik,J. Łażewski,Paweł T. Jochym,Andrzej M. Oleś,Svetoslav Stankov,Przemysław Piekarz
出处
期刊:Physical Review B [American Physical Society]
卷期号:104 (5): 054305- 被引量:2
标识
DOI:10.1103/physrevb.104.054305
摘要

Honeycomb and kagome lattices exhibit extraordinary electronic properties. It is a natural consequence of additional discrete degree of freedom associated with a valley or the occurrence of electronic flat bands. The combination of both types of lattices, observed in CoSn-like compounds, leads not only to the topological electronic behavior, but also to the emergence of chiral phonon modes. We study CoSn-like compounds and show that chiral phonons are realized here. Previous theoretical studies demonstrated that the chiral phonons can be found in ideal two-dimensional honeycomb or kagome lattices. Recent experimental results support such a prediction as the chiral phonons were observed in the transition metal dichalcogenide ${\mathrm{WSe}}_{2}$. It turns out that in the case of CoSn-like systems with the $P6/mmm$ symmetry, the kagome lattice formed by $d$-block element is decorated by the additional $p$-block atom. As a result one finds a two-dimensional triangular lattice of atoms with nonequal masses and the absence of chiral phonons in the kagome plane. Contrary to this, the interlayer honeycomb lattice of $p$-block atoms is preserved and allows for the realization of chiral phonons. In this paper we discuss the properties of such chiral phonons in seven CoSn-like compounds and demonstrate that they do not depend on the atomic mass ratio or the presence of intrinsic magnetic order. The chiral phonons of $d$-block atoms can be restored by removing the inversion symmetry. The latter is possible in the crystal structure of CoGe and RhPb with the reduced symmetry ($P\overline{6}2m$) and in distorted-kagome-like lattice.
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