Application of the Faddeev technique to the bound states of three charged particles in two dimensions
ORAL
Abstract
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.
*The work of M.R.H. was supported by the National Science Foundation under Grant No. NSF-PHY-2000029 with Central State University. K.M. acknowledges a Ph.D. scholarship from the Brazilian agency CNPq. T.F. acknowledges the CNPq Grant No. 308486/2015-3 and FAPESP under Thematic Project 2017/05660-0. This work is a part of the project INCT-FNA proc. No. 464898/2014-5 and was supported by CNPq Grant No. 400789/2019-0. M.R.H. thanks the Ohio Supercomputer Center (OSC) for the use of their facilities under Grant No. POS0104.
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Presenters
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Mohammadreza Hadizadeh
- Central State University