Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$

Abstract

We employ group theory to study the properties of the lattice vibrations and magnetic order in the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$, both in bulk and few-layer form. In the paramagnetic phase, we obtain the degeneracies, the selection rules, and real-space displacements for the lattice vibrational modes for different stacking configurations. We discuss how magnetism influences these results. As a representative example, we consider a double septuple layer system and obtain the form of the magnetic order allowed by the symmetries of the crystal. We derive the allowed coupling terms that describe the paramagnetic to antiferromagnetic transition. Finally, we discuss the implications of our results for Raman scattering and other optical measurements. Our work sets the stage for a deeper understanding of the interplay of lattice modes, band topology, and magnetic order in MnBi${}_2$Te${}_4$ and other symmetry-related materials.

arXiv comment11 pages, 8 figures

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Cited by in corpus (5)

• Two-dimensional THz spectroscopy of nonlinear phononics in the topological insulator ${\mathrm{MnBi}}_2{\mathrm{Te}}_4$
• Ultrafast coherent interlayer phonon dynamics in atomically thin layers of MnBi2Te4
• Crystal structure and Raman active lattice vibrations of magnetic topological insulators MnBi2Te4 n(Bi2Te3) (n = 0, 1, . . . , 6)
• Dynamical properties of magnetic topological insulator $T$Bi${}_2$Te${}_4$ ($T=$Mn, Fe): phonons dispersion, Raman active modes, and chiral phonons study
• Light-driven topological and magnetic phase transitions in thin-layer antiferromagnets