Chiral phonons in honeycomb sublattice of layered CoSn-like compounds

Abstract

Hexagonal and kagome lattices exhibit extraordinary electronic properties. It is a natural consequence of additional discrete degree of freedom associated with a valley or the occurence of electronic flat-bands. 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. Here, we study CoSn-like compounds in the context of realization of chiral phonons. Previous theoretical studies demonstrated that the chiral phonons can be found in ideal two-dimensional hexagonal or kagome lattices. However, 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. This results in a two dimensional triangular lattice of atoms with non-equal masses and the absence of chiral phonons in the kagome plane. Contrary to this, the interlayer hexagonal lattice of $p$-block atoms is preserved and allows for the realization of chiral phonons. We discuss properties of these chiral phonons in seven CoSn-like compounds and demonstrate that they do not depend on 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 ($P\bar{6}2m$) and distorted-kagome-like lattice.

13 pages, 8 figures

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• Strain-driven chiral phonons in two-dimensional hexagonal materials
• Investigating the magneto-elastic properties in FeSn and Fe${}_3$Sn${}_2$ flat band metals
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Phononic drumhead surface state in distorted kagome compound RhPb
• Electronic and dynamical properties of cobalt monogermanide CoGe phases under pressure
• Chiral phonons in binary compounds $A$Bi ($A$ = K, Rb, Cs) with P2${}_1$/c structure
• $T_3$Pb${}_{2}C{h}_2$ ($T$=Pd,Pt and $Ch$=S,Se) with transition metal kagome net: Dynamical properties, phonon nodal line, phonon surface states, and chiral phonons
• Lattice dynamics study of electron-correlation-induced charge density wave in antiferromagnetic kagome metal FeGe
• Coexistent topological and chiral phonons in chiral RhGe: An ab initio study
• Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice
• Chiral phonon in the cubic system based on the Laves phase of $A$Bi${}_2$ ($A=$K, Rb, Cs)
• Anomalous phonon magnetic moments
• Low temperature phase of AuSn${}_4$ induced by the van der Waals interactions
• Enhanced Neel temperature and unusual thermal expansion in flux-grown FeCrAs crystals
• Density-wave tendency from a topological nodal-line perspective