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We report on the radiative recombination of photo-excited carriers bound at native donors and acceptors in exfoliated nanoflakes of nominally undoped rhombohedral -polytype InSe. The binding energies of these states are found to increase with the decrease in flake thickness, . We model their dependence on using a two-dimensional hydrogenic model for impurities and show that they are strongly sensitive to the position of the impurities within the nanolayer.


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