A trion in a magnetic field revisited

TL;DR

This paper reevaluates the energy spectrum of two-dimensional trions in magnetic fields, revealing that previous approximations significantly underestimated binding energies and overlooked new states, with implications for material spectra calculations.

Contribution

It demonstrates the failure of earlier approximations in accessible magnetic fields and introduces a comprehensive database for calculating magnetotrion spectra across various materials.

Findings

Previous models underestimate trion binding energies.

Coulomb-induced Landau level mixing creates additional states.

A database for matrix elements in magnetotrion calculations is provided.

Abstract

We revisit the problem of a two dimensional trion in an external magnetic field. We demonstrate that the approximations used previously for finding the energy spectrum of this system break down in the experimentally accessible range of magnetic fields. It is shown that the neglect of the Coulomb-induced mixing of different Landau levels corresponding to non-interacting particles leads to a strong underestimation of the trion binding energies even at extremely high magnetic fields (hundreds of Tesla). Moreover, proper account of the Coulomb effects for certain values of the parameters can lead to the appearance of additional discrete trion states which were overlooked previously. Finally, we provide a database of the matrix elements necessary for calculation of the magnetotrion spectra for a wide class of materials.