Variationally optimized orbital approach to trions in two-dimensional materials

Abstract

In this work, trions in two-dimensional (2D) space are studied by variational method with trial wavefunctions being constructed by linear combinations of 2D slater-type orbitals (STOs). Via this method, trion energy levels and wavefunctions can be calculated efficiently with fairly good accuracy. We first apply this method to study trion energy levels in a 2D hydrogen-like system with respect to a wide range of mass ratios and screening lengths. We find that the ground-state trion is bound for the whole parameter range, and an excited-state trion with antisymmetric permutation of electrons with finite angular momentum is bound for large electron-hole mass ratios or long screening lengths. The binding energies of ground-state trions calculated by the present method agree well with those calculated by more sophisticated but computationally-demanding methods. We then calculate trion states in various monolayer transition metal dichalcogenides (TMDCs) by using this method with the inclusion of electron-hole exchange (EHX) interaction. For TMDCs, we found that the effect of EHX can be significant in determining the trion binding energy and the possible existence of stable excited-state trions.

arXiv comment9 pages, 2 figures

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Cited by in corpus (5)

• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Trion clustering structure and binding energy in 2D semiconductor materials: Faddeev equations approach
• Electrostatic control of the trion fine structure in transition metal dichalcogenide monolayers
• Brightening dark excitons and trions in systems with a Mexican-hat energy dispersion: example of InSe
• Brightening interlayer excitons by electric-field-driven hole transfer in bilayer WSe2