Trion formation in a two dimensional hole doped electron gas
The interaction between a single hole and a two dimensional, paramagnetic, homogeneous electron gas is studied using diffusion quantum Monte Carlo simulations. Electron hole relaxation energies, pair correlation functions, and electron hole center of mass momentum densities are reported for a range of electron hole mass ratios and electron densities. We find numerical evidence of a crossover from a collective excitonic state to a trion dominated state in a density range in agreement with that found in recent experiments on quantum well heterostructures.