Probing symmetry properties of few-layer MoS2 and h-BN by optical second-harmonic generation.

Li, Yilei; Rao, Yi; Mak, Kin Fai; You, Yumeng; Wang, Shuyuan; Dean, Cory R; Heinz, Tony F · Nano Lett · 2013

basic_science · Level V

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Abstract

We have measured optical second-harmonic generation (SHG) from atomically thin samples of MoS2 and h-BN with one to five layers. We observe strong SHG from materials with odd layer thickness, for which a noncentrosymmetric structure is expected, while the centrosymmetric materials with even layer thickness do not yield appreciable SHG. SHG for materials with odd layer thickness was measured as a function of crystal orientation. This dependence reveals the rotational symmetry of the lattice and is shown to provide a purely optical method of determining the orientation of crystallographic axes. We report values for the nonlinearity of monolayers and odd-layers of MoS2 and h-BN and compare the variation as a function of layer thickness with a model that accounts for wave propagation effects.