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Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene

Effective-mass theory for the anisotropic exciton in two-dimensional crystals: Application to phosphorene

We present a theoretical study of the exciton binding energy for anisotropic two-dimensional crystals. We obtain analytical expressions from variational wave functions in different limits of the screening length to exciton size ratio and compare them with numerical solutions, both variational and exact. As an example, we apply these results …