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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 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

Assuming a logarithmic interaction between constituent particles, compact and locally accurate wave functions that describe bound states of the two-particle neutral and three-particle charged complexes in two dimensions are designed. Prime…

Materials Science · Physics 2023-09-29 J. C. del Valle , J. A. Segura Landa , D. J. Nader

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

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have…

Nuclear Theory · Physics 2016-03-22 V. I. Kovalchuk

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

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

Optical and transport properties of doped monolayer semiconductors are dominated by trions, which are three-particle compounds formed by two electrons and one hole or vice versa. In this work, we investigate the trion-phonon interaction on…

Mesoscale and Nanoscale Physics · Physics 2022-09-09 Raul Perea-Causin , Samuel Brem , Ermin Malic

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…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Yao-Wen Chang , Yia-Chung Chang

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

Properties of the three-nucleon bound state are examined in the Faddeev formalism, in which the quark-model nucleon-nucleon interaction is explicitly incorporated to calculate the off-shell T-matrix. The most recent version, fss2, of the…

Nuclear Theory · Physics 2009-11-07 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki , H. Nemura

The Faddeev equations are solved in momentum space for the trinucleon bound state with the new Tucson-Melbourne $\pi$ and $\rho$ exchange three-nucleon potentials. The three-nucleon potentials are combined with a variety of realistic…

Nuclear Theory · Physics 2008-11-26 A. Stadler , J. Adam , H. Henning , P. U. Sauer

A spin-isospin dependent Three-Dimensional approach based on momentum vectors for formulation of the three-nucleon bound state is presented in this paper. The three-nucleon Faddeev equations with two-nucleon interactions are formulated as a…

Nuclear Theory · Physics 2008-11-26 S. Bayegan , M. R. Hadizadeh , M. Harzchi

Two- and three- particles photodisintegration of the triton is investigated in a three-dimensional (3D) Faddeev approach. For this purpose the Jacobi momentum vectors for three particles system and spin-isospin quantum numbers of the…

Nuclear Theory · Physics 2012-02-21 M. A. Shalchi , S. Bayegan

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 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

Strong interactions between charges and light-matter coupled quasiparticles offer an intriguing prospect with applications from optoelectronics to light-induced superconductivity. Here, we investigate how the interactions between electrons…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Sangeet S. Kumar , Brendan C. Mulkerin , Meera M. Parish , Jesper Levinsen

The influence of the partial-wave states with nonzero orbital moment of the nucleon pair on the binding energy of the triton in the relativistic case is considered. The relativistic generalization of the Faddeev equation in the…

Nuclear Theory · Physics 2019-05-22 S. G. Bondarenko , V. V. Burov , S. A. Yurev

We study possible optically excited bound states in monolayer MoS2: excitons and trions. For this purpose we formulate and apply a generalized time-dependent density-matrix functional approach for bound states of multiple excitations. The…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 Alfredo Ramirez-Torres , Volodymyr Turkowski , Talat S. Rahman

Recent synthetic progress has enabled the controlled fusion of colloidal CdSe/CdS quantum dots in order to form dimers manifesting electronic coupling in their optical response. While this ``artificial H2 molecule'' constitutes a milestone…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Jordi Llusar , Juan I. Climente
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