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We approach the biexciton Schr\"{o}dinger equation not through the free-carrier basis as usually done, but through the free-exciton basis, exciton-exciton interactions being treated according to the recently developed composite boson…

Strongly Correlated Electrons · Physics 2016-12-16 Shiue-Yuan Shiau , Monique Combescot , Yia-Chung Chang

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

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

We first show that, for problems dealing with trions, it is totally hopeless to use the standard many-body description in terms of electrons and holes and its associated Feynman diagrams. We then show how, by using the description of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Combescot , O. Betbeder-Matibet , F. Dubin

The optical spectra of two dimensional (2D) materials exhibit sharp absorption peaks that are commonly identified with exciton and trions (or charged excitons). In this paper, we show that excitons and trions in doped 2D materials can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Farhan Rana , Okan Koksal , Christina Manolatou

Treating the trion problem as an effective two-body system with exciton and electron components, we identify component exchange as the reason leading to trion formation. This mechanism can be visualized as a hole that toggles back and forth…

Materials Science · Physics 2025-03-04 Dinh Van Tuan , Hanan Dery

We study the Stark effect for an exciton confined in a pair of vertically coupled quantum dots. A single-band approximation for the hole and a parabolic lateral confinement potential are adopted which allows for the separation of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Szafran , T. Chwiej , F. M. Peeters , S. Bednarek , J. Adamowski , B. Partoens

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

The X$^-$ trion is essentially an electron bound to an exciton. However, due to the composite nature of the exciton, there is no way to write an exciton-electron interaction potential. We can overcome this difficulty by using a commutation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Combesccot , O. Betbeder-Matibet

The concept of \textit{optical} exciton - a photo-excited bound electron-hole pair within a crystal - is routinely used to interpret and model a wealth of excited-state phenomena in semiconductors. Beside originating sub-band gap signatures…

Materials Science · Physics 2022-09-21 Fulvio Paleari , Andrea Marini

We present a many-body theory for exciton-trion-polaritons in doped two-dimensional materials. Exciton-trion-polaritons are robust coherent hybrid excitations involving excitons, trions, and photons. Signatures of these polaritons have been…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Farhan Rana , Okan Koksal , Minwoo Jung , Gennady Shvets , A. Nick Vamivakas , Christina Manolatou

A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges $(-e/3)$ is presented. A full symmetry classification of the $k=0$ states is given, where $k$ is the exciton momentum. The energy levels…

Condensed Matter · Physics 2016-08-08 M. E. Portnoi , E. I. Rashba

We study the dynamic equilibrium between trions and excitons in monolayers of transition metal dichalcogenides in the presence of resident charge carriers and continuous photogeneration of excitons. We show that heating of the system via…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 A. M. Shentsev

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 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

We report the first observation of an optical transition from a ground trion state T to excited trion state T* in (6,5) single-wall carbon nanotubes non-covalently doped with hydrochloric acid. The position of such an excited trion level T*…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 T. V. Eremin , P. A. Obraztsov , V. A. Velikanov , T. V. Shubina , E. D. Obraztsova

We report the first observation of trions (charged excitons), three-particle bound states consisting of one electron and two holes, in hole-doped carbon nanotubes at room temperature. When p-type dopants are added to carbon nanotube…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Ryusuke Matsunaga , Kazunari Matsuda , Yoshihiko Kanemitsu

We predict here the fine structure of an electrically tunable negatively charged exciton (trion) composed of two electrons and a hole confined in a gated bilayer graphene quantum dot (QD). We start with an atomistic approach, allowing us to…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Katarzyna Sadecka , Yasser Saleem , Daniel Miravet , Matthew Albert , Marek Korkusinski , Gabriel Bester , Pawel Hawrylak

We first derive a new ``commutation technique'' for an exciton interacting with electrons, inspired from the one we recently developed for excitons interacting with excitons. These techniques allow to take \emph{exactly} into account the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Combescot , O. Betbeder-Matibet

We present a calculation of exciton states in semiconductor coupled quantum wells (CQWs) in the presence of electric and magnetic fields applied perpendicular to the QW plane. The exciton Schr\"odinger equation is solved in real space in…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 J. Wilkes , E. A. Muljarov
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