Trion formation in a two-dimensional hole-doped electron gas

Abstract

The interaction between a single hole and a two-dimensional, paramagnetic, homogeneous electron gas is studied using diffusion quantum Monte Carlo simulations. Calculations of the electron-hole correlation energy, pair-correlation function, and the electron-hole center-of-mass momentum density are reported for a range of electron--hole mass ratios and electron densities. We find numerical evidence of a crossover from a collective Mahan exciton to a trion-dominated state in a density range in agreement with that found in recent experiments on quantum well heterostructures.

Final author version. 6 figures. Minor changes in this version include slightly expanded discussion of the peak in the momentum density in the supplemental material. Supplemental material is available on arXiv via the ancillary files attached to this submission

References in corpus (7)

• Continuum variational and diffusion quantum Monte Carlo calculations
• Jastrow correlation factor for atoms, molecules, and solids
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Binding energies and spatial structures of small carrier complexes in monolayer transition metal dichalcogenides via diffusion Monte Carlo
• Three-particle Complexes in Two-Dimensional Semiconductors
• Exciton and biexciton energies in bilayer systems
• First-Principles Study of a Positron Immersed in an Electron Gas

Cited by in corpus (12)

• Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code
• Optical properties of charged excitons in two-dimensional semiconductors
• Diffusion quantum Monte Carlo study of excitonic complexes in two-dimensional transition-metal dichalcogenides
• Binding energies of trions and biexcitons in two-dimensional semiconductors from diffusion quantum Monte Carlo calculations
• Optimizing Jastrow factors for the transcorrelated method
• Stability of trions in coupled quantum wells modelled by two-dimensional bilayers
• On Binding Energy of Trions in Bulk Materials
• Experimental evidences of trions and Fermi edge singularity in single barrier GaAs/AlAs/GaAs heterostructure using photocapacitance spectroscopy
• Efficient calculation of trion energies in monolayer transition metal dichalcogenides
• Composite boson description of a low density gas of excitons
• Composite Fermions as Deformed Oscillators: Wavefunctions and Entanglement
• Low-dimensional quantum systems