Application of the Faddeev technique to the bound states of three charged particles in two dimensions

In this work, we present the application of the Faddeev technique for the exact numerical solution of the Schrödinger equation for three-charged particle bound systems in two dimensions. Three coupled Faddeev integral equations for the most general bound state of three different mass particles interacting with different pair interactions are formulated in momentum space depending on the magnitude of Jacobi momenta and the angle between them. We discuss the numerical implementation and present our results for the binding energy and wave function of a trion, a three-body system consisting of electrons and holes, in a MoS2 layer.