Trion ground state, excited states and absorption spectrum using electron-exciton basis

Abstract

We solve the Schrödinger equation for two electrons plus one hole by writing it in the electron-exciton basis. The main advantage of this basis is to eliminate the exciton contribution from the trion energy in a natural way. The interacting electron-exciton system is treated using the recently developed composite boson many-body formalism which allows an exact handling of electron exchange. We numerically solve the resulting electron-exciton Schrödinger equation, with the exciton levels restricted to the lowest $1s,2s$ and $3s$ states, and we derive the trion ground state energy as a function of the electron-to-hole mass ratio. While our results are in reasonable agreement with those obtained through the best variational methods using free carrier basis, this electron-exciton basis is mostly suitable to easily reach the bound and unbound trion excited states. Through their wave functions, we here calculate the optical absorption spectrum in the presence of hot carriers for 2D quantum wells. We find large peaks located at the exciton levels, which are attributed to electron-exciton (unbound) scattering states, and small peaks identified with trion bound states.

16 pages; 15 figures

Cited by in corpus (28)

• Many-Body Theory of Trion Absorption Features in Two-Dimensional Semiconductors
• Highly nonlinear trion-polaritons in a monolayer semiconductor
• Theory of exciton-electron scattering in atomically thin semiconductors
• Electron-exciton interactions in the exciton-polaron problem
• Nonlinear quantum optics with trion-polaritons in 2D monolayers: conventional and unconventional photon blockade
• Excitonic effects in two-dimensional semiconductors: Path integral Monte Carlo approach
• Exciton-polarons in doped semiconductors in a strong magnetic field
• Ground and Excited Exciton Polarons in Monolayer MoSe2
• Magnetooptics of layered two-dimensional semiconductors and heterostructures: progress and prospects
• A Many-Body Theory of the Optical Conductivity of Excitons and Trions in Two-Dimensional Materials
• Quantum Dynamics of Attractive and Repulsive Polarons in a Doped MoSe${}_2$ Monolayer
• Landau-quantized excitonic absorption and luminescence in a monolayer valley semiconductor
• Many-body theory of optical absorption in doped two-dimensional semiconductors
• Exciton-Trion-Polaritons in Two-Dimensional Materials
• Many-body theory of radiative lifetimes of exciton-trion superposition states in doped two-dimensional materials
• The Structure and Dispersion of Exciton-Trion-Polaritons in Two-Dimensional Materials: Experiments and Theory
• The 3-body Coulomb problem
• Electronic structure and absorption spectrum of biexciton obtained by using exciton basis
• Fundamental differences between exciton and quantum dot duo
• Way to observe the implausible "trion-polariton"
• Trion ground state energy: simple results
• Influence of free carriers on exciton ground states in quantum wells
• Magneto-Optical Measurements of the Negatively Charged 2$s$ Exciton in WSe${}_2$
• Component exchange theory of trions
• Quantum Monte Carlo study of three-dimensional Coulomb complexes: trions and biexcitons; hydrogen molecules and ions; helium hydride cations; and positronic and muonic complexes
• Dynamic generation of spin spirals of moiré trapped carriers via exciton mediated spin interactions
• Low-energy trions in graphene quantum dots
• Coboson many-body formalism for atom-dimer scattering length