Excitons in Phosphorene: A Semi-Analytical Perturbative Approach

Abstract

In this paper we develop a semi-analytical perturbation-theory approach to the calculation of the energy levels (binding energies) and wave functions of excitons in phosphorene. Our method gives both the exciton wave function in real and reciprocal spaces with the same ease. This latter aspect is important for the calculation of the nonlinear optical properties of phosphorene. We find that our results are in agreement with calculations based both on the Bethe-Salpeter equation and on Monte Carlo simulations, which are computationally much more demanding. Our approach thus introduces a simple, viable, and accurate method to address the problem of excitons in anisotropic two-dimensional materials.

8 pages

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• The Renaissance of Black Phosphorus
• Broadband Linear-Dichroic Photodetector in a Black Phosphorus Vertical p-n Junction
• Gate Tunable Quantum Oscillations in Air-Stable and High Mobility Few-Layer Phosphorene Heterostructures
• Excitons in anisotropic 2D semiconducting crystals
• Anisotropic exciton Stark shift in black phosphorus
• Exciton binding energies and luminescence of phosphorene under pressure
• Stark shift of excitons and trions in two-dimensional materials
• Optical third harmonic generation in black phosphorus

Cited by in corpus (4)

• Theoretical methods for excitonic physics in two-dimensional materials
• Anisotropic Stark shift, field-induced dissociation, and electroabsorption of excitons in phosphorene
• Analytical Quantitative Semi-Classical Approach to the LoSurdo-Stark Effect and Ionization in 2D excitons
• Tunable effective masses of magneto-excitons in two-dimensional materials