Rigid-layer Raman-active modes in $N$-layer Transition Metal Dichalcogenides: interlayer force constants and hyperspectral Raman imaging

Abstract

We report a comparative study of rigid layer Raman-active modes in $N$-layer transition metal dichalcogenides. Trigonal prismatic (2Hc, such as MoSe${}_2$, MoTe${}_2$, WS${}_2$, WSe${}_2$) and distorted octahedral (1T', such as ReS${}_2$ and ReSe${}_2$) phases are considered. The Raman-active in-plane interlayer shear modes and out-of-plane interlayer breathing modes appear as well-defined features with wavenumbers in the range 0-40~cm${}^{-1}$. These rigid layer modes are well-described by an elementary linear chain model from which the interlayer force constants are readily extracted. Remarkably, these force constants are all found to be of the same order of magnitude. Finally, we show that the prominent interlayer shear and breathing mode features allow high-precision hyperspectral Raman imaging of $N-$layer domains within a given transition metal dichalcogenide flake.

References in corpus (17)

• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• 2D materials and van der Waals heterostructures
• Anomalous Lattice Vibrations of Single and Few-Layer MoS2
• Two-Dimensional Material Nanophotonics
• Measurement of the optical dielectric function of transition metal dichalcogenide monolayers: MoS2, MoSe2, WS2 and WSe2
• Phonon and Raman scattering of two-dimensional transition metal dichalcogenides from monolayer, multilayer to bulk material
• Non-linear Optical Spectroscopy of Excited Exciton States for Efficient Valley Coherence Generation in WSe2 Monolayers
• Anomalies in thickness measurements of graphene and few layer graphite crystals by tapping mode atomic force microscopy
• Interference effect on Raman spectrum of graphene on SiO_2/Si
• Observation of interlayer phonon modes in van der Waals heterostructures
• Raman spectroscopy of the interlayer shear mode in few-layer MoS2 flakes
• Mechanics of freely-suspended ultrathin layered materials
• Anomalous excitonic resonance Raman effects in few-layer MoS2
• Newly observed first-order resonant Raman modes in few-layer MoS${}_2$
• Temperature-activated layer-breathing vibrations in few-layer graphene
• Quantum interference effects in resonant Raman spectroscopy of single- and triple-layer MoTe${}_2$ from first principles

Cited by in corpus (2)

• Stacking-Dependent Interlayer Phonons in 3R and 2H MoS${}_2$
• The optical signature of few-layer ReSe${}_2$