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The reduced dielectric screening in atomically thin semiconductors leads to remarkably strong electron interactions. As a result, bound electron-hole pairs (excitons) and charged excitons (trions), which have binding energies in the…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Sangeet S. Kumar , Brendan C. Mulkerin , Antonio Tiene , Francesca Maria Marchetti , Meera M. Parish , Jesper Levinsen

Using the complex scaling and the stabilization method combined with the stochastic variational approach, we have shown that there are narrow resonance states in two-dimensional three particle systems of electrons and holes interacting via…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Jun Jan , Kalman Varga

We develop the theoretical formalism and study the formation of valley trions in transition metal dichalcogenide (TMDC) monolayers within the framework of a nonrelativistic potential model using the method of hyperspherical harmonics (HH)…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Roman Ya. Kezerashvili , Shalva M. Tsiklauri , Andrew Dublin

We study the negatively $T^{-}$ and positively $T^{+}$ charged trions in bulk materials in the effective mass approximation within the framework of a potential model. The binding energies of trions in various semiconductors are calculated…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Igor Filikhin , Roman Ya. Kezerashvili , Bronislav Vlahovic

We investigate the properties of trions in transition metal dichalcogenides (TMDCs) monolayers using the Gaussian Expansion Method (GEM) adapted to two-dimensional systems. Excitons and trions in monolayer TMDCs with the chemical…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Luiz G. M. Tenório , André J. Chaves , Emiko Hiyama , Tobias Frederico

We solve the Schr\"{o}dinger equation for two electrons plus one hole by writing it in the electron-exciton basis. The main advantage of this basis is to eliminate the exciton contribution from the trion energy in a natural way. The…

Strongly Correlated Electrons · Physics 2015-03-20 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

We predict the formation of intravalley controllable trions in buckled two-dimensional (2D) materials such as silicene, germanene, and stanene monolayers in an external electric field. Performing a study within the framework of a…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Roman Ya. Kezerashvili , Shalva M. Tsiklauri , Anastasia Spiridonova

The influence of a perpendicular magnetic field on the binding energy and structural properties of excitons, trions, and biexcitons in monolayers of semiconducting transition metal dichalcogenides (TMDs) is investigated. The stochastic…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 M. Van der Donck , M. Zarenia , F. M. Peeters

We investigate the trion binding energy in a three-dimensional semiconductor, with bare Coulomb interaction between charges, and effective mass approximation for the electron and hole dispersion relations. This is done by making use of a…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 R. Combescot

So far in the literature the terms "charged exciton" and "trion" are often confused with each other and mostly considered as the same. In this work we show this is not the case in 2D quantum dots with a parabolic confinement. By using the…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Nguyen Hong Quang , Nguyen Que Huong

The Stochastic Variational Method (SVM) is used to show that the effective mass model correctly estimates the binding energies of excitons and trions, but fails to predict the experimental binding energy of the biexciton. Using…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 David K. Zhang , Daniel W. Kidd , Kálmán Varga

We report variational and diffusion quantum Monte Carlo calculations of the binding energies of indirect trions and biexcitons in ideal two-dimensional bilayer systems within the effective-mass approximation, and with a Coulomb $1/r$…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 O. Witham , R. J. Hunt , N. D. Drummond

We compute the energy levels of a 2D Hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method and a genera lization of virial theorem, which consists in scaling the wave function, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ramiro Pino , Victor M. Villalba

A theory of the trion and biexciton in a nanowire (NW) in the framework of the effective-mass model using the Born-Oppenheimer approximation is presented. We consider the formation of trions and biexcitons under the action of both the…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 R. Ya. Kezerashvili , Z. S. Machavariani , B. Beradze , T. Tchelidze

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm}$, excitons bound by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Bogdan Ganchev , Neil Drummond , Igor Aleiner , Vladimir Fal'ko

A configuration space method is developed for binding energy calculations of the lowest energy exciton complexes (trion, biexciton) in spatially confined quasi-1D semiconductor nanostructures such as nanowires and nanotubes. Quite…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 I. V. Bondarev

A variational approach is developed for bound state calculations in three- and four-electron atomic systems. This approach can be applied to determine, in principle, an arbitrary bound state in three- and four-electron ions and atoms. Our…

Atomic Physics · Physics 2015-05-19 Alexei M Frolov , David M. Wardlaw

Trions -- Coulomb-bound three-particle excitations composed of two like-charge carriers and one oppositely charged carrier -- are central quasiparticles in two-dimensional semiconductors. Reduced dielectric screening and quantum confinement…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Roman Ya. Kezerashvili

We study theoretically fundamental Coulomb-correlated complexes: neutral and charged excitons, also known as trions, in transition metal dichalogenides monolayers. We focus on the situation where one of the electrons occupies excited,…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 M. A. Semina , J. V. Mamedov , M. M. Glazov

We study the trion and biexciton in transition metal dichalcogenides monolayers within the framework of a nonrelativistic potential model using the method of hyperspherical harmonics (HH). We solve the three- and four-body Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2017-01-09 Roman Ya. Kezerashvili , Shalva M. Tsiklauri
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