Atomically thin films of III-VI post-transition metal chalcogenides (InSe and GaSe) form an interesting class of two-dimensional semiconductor that feature strong variations of their band gap as a function of the number of layers in the crystal 1-4 and, specifically for InSe, an earlier predicted crossover from a direct gap in the bulk 5,6 to a 1 arXiv:1901.06943v1 [cond-mat.mtrl-sci] 21 Jan 2019 weakly indirect band gap in monolayers and bilayers. 7-11 Here, we apply angle resolved photoemission spectroscopy with submicrometer spatial resolution (µARPES) to visualise the layer-dependent valence band structure of mechanically exfoliated crystals of InSe. We show that for 1 layer and 2 layer InSe the valence band maxima are away from the Γ-point, forming an indirect gap, with the conduction band edge known to be at the Γ-point. In contrast, for six or more layers the bandgap becomes direct, in good agreement with theoretical predictions. The high-quality monolayer and bilayer samples enables us to resolve, in the photoluminescence spectra, the band-edge exciton (A) from the exciton (B) involving holes in a pair of deeper valence bands, degenerate at Γ, with the splitting that agrees with both µARPES data and the results of DFT modelling. Due to the difference in symmetry between these two valence bands, light emitted by the A-exciton should be predominantly polarised perpendicular to the plane of the two-dimensional crystal, which we have verified for few-layer InSe crystals.
KeywordsARPES, indium selenide, 2D materials, density functional theory, photoluminescence, spinorbit coupling Two-dimensional materials (2DM) and their van der Waals heterostructures, constructed by the mechanical assembly of individual 2D crystals, have a great potential for optoelectronic applications. 12 The fast growing family of 2DM 13 includes 2D insulators, 2D semiconductors with various band gaps, 2D metals and even 2D superconductors, with electronic and optical properties that often differ from their bulk allotropes. 14 In this family, post-transition metal monochalcogenides (PTMC), III-VI compounds such as GaSe and InSe, are emerging as important materials to study, due to their interesting layer-dependent optical properties and exceptionally high carrier mobility. [1][2][3][4]8,15,16 Both GaSe and InSe display a pronounced quantum confinement effect: an increase of the band gap upon decreasing the number of layers, L, which is stronger in InSe 3,11 than in GaSe 17 films as revealed recently by photolu-