Phonon Properties of Few-Layer Crystals of Quasi-One-Dimensional ZrS3 and ZrSe3

The frequencies of Raman active modes of few-layer ZrS 3 and ZrSe 3 and their dependence on the number of layers have been investigated by Raman scattering spectroscopy and first-principles calculations. We find a considerable downshift of the frequency of the A g 3 mode with decreasing the number of layers, and a slight downshift of the A g 5 mode. The same frequency shifts are reproduced by the calculations with remarkable accuracy. We explain the difference in the frequency shifts of the A g 3 and A g 5 modes in terms of intrachain, interchain, and interlayer force constants in simple one-dimensional lattice models. We thus show that the large shift of the A g 3 mode reflects the quasi-one-dimensional structure of ZrS 3 and ZrSe 3, which does not exist in the more widely studied two-dimensional materials.