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.

arXiv comment8 pages

References in corpus (26)

• Electric Field Effect in Atomically Thin Carbon Films
• Black phosphorus field-effect transistors
• Phosphorene: A New 2D Material with High Carrier Mobility
• High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus
• Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus
• Excitons in atomically thin transition metal dichalcogenides
• Isolation and characterization of few-layer black phosphorus
• Strain-induced gap modification in black phosphorus
• The Renaissance of Black Phosphorus
• Broadband Linear-Dichroic Photodetector in a Black Phosphorus Vertical p-n Junction
• Electric field effect in ultrathin black phosphorus
• Negative Poisson's Ratio in Single-Layer Black Phosphorus
• Gate Tunable Quantum Oscillations in Air-Stable and High Mobility Few-Layer Phosphorene Heterostructures
• Determination of layer-dependent exciton binding energies in few-layer black phosphorus
• 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
• Quantum Monte Carlo calculations of energy gaps from first principles
• $k\cdot p$ theory for phosphorene: Effective g-factors, Landau levels, and excitons
• Absorption of single-layer hexagonal boron nitride in the ultraviolet
• Improvements in the $GW$ and Bethe-Salpeter-equation calculations on phosphorene
• Exciton in phosphorene: Strain, impurity, thickness and heterostructure
• Optical third harmonic generation in black phosphorus
• Excitonic complexes in anisotropic atomically thin two-dimensional materials: black phosphorus and TiS${}_3$
• Monolayer transition metal dichalcogenides in strong magnetic fields: Validating the Wannier model using a microscopic calculation

Cited by in corpus (11)

• Large exciton binding energies in MnPS${}_3$ as a case study of vdW layered magnet
• Anisotropic effects in two-dimensional materials
• Theoretical methods for excitonic physics in two-dimensional materials
• Anisotropic Stark shift, field-induced dissociation, and electroabsorption of excitons in phosphorene
• Moiré band structures of twisted phosphorene bilayers
• Variationally optimized orbital approach to trions in two-dimensional materials
• Microscopic theory of the polarizability of transition metal dichalcogenides excitons: Application to WSe2
• Analytical Quantitative Semi-Classical Approach to the LoSurdo-Stark Effect and Ionization in 2D excitons
• Magnetoexcitons in phosphorene monolayers, bilayers, and van der Waals heterostructures
• Tunable effective masses of magneto-excitons in two-dimensional materials
• Optical properties of orthorhombic germanium sulfide: Unveiling the Anisotropic Nature of Wannier Exciton