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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

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

Recently, we have derived the changes in the absorption spectrum of an exciton when this exciton is photocreated close to a metal. The resolution of this problem -- which has similarities with Fermi edge singularities -- has been made…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Combescot , O. Betbeder-Matibet

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

Quantum systems with engineered Hamiltonians can be used as simulators of many-body physics problems to provide insights beyond the capabilities of classical computers. Semiconductor gate-defined quantum dot arrays have emerged as a…

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 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

We revisit low-temperature optical spectra of transition-metal dichalcogenide monolayers and point to a possible crystallization of electrons (or holes) at low to moderate charge densities. To calculate the excitonic spectra under such…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Dinh Van Tuan , Hanan Dery

The combination of repulsive and attractive Coulomb interactions in a quantum electron(e)-hole(h) fluid can give rise to novel correlated phases of multiparticle charge complexes such as excitons, trions and biexcitons. Here we report the…

Strong Coulomb interaction in atomically-thin transition metal dichalcogenides makes these systems particularly promising for studies of excitonic physics. Of special interest are the manifestations of the charged excitons, also known as…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 M. M. Glazov

The correct treatment of the close-to-boson character of excitons is known to be a major problem. In a previous work, we have proposed a ``commutation technique'' to include this close-to-boson character in their interactions. We here…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Betbeder-Matibet , M. Combescot

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

To test the validity of replacing a composite fermion by an elementary fermion, we here calculate the transition rate from a state made of one free electron and one trion to a similar electron-trion pair, through the time evolution of such…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Combescot , O. Betbeder-Matibet , M. A. Dupertuis

We propose a double channel mechanism for the formation of charged excitons (trions); they are formed through bi- and tri-molecular processes. This directly implies that both negatively and positively charged excitons coexist in a quantum…

Materials Science · Physics 2009-09-29 M. T. Portella-Oberli , J. Berney , L. Kappei , F. Morier-Genoud , J. Szczytko , B. Deveaud

We introduce density imbalanced electron-hole bilayers at a commensurate 2 : 1 density ratio as a platform for realizing novel phases involving electrons, excitons and trions. Three length scales are identified which characterize the…

Strongly Correlated Electrons · Physics 2024-05-28 David D. Dai , Liang Fu

Charged excitons, or trions, offering unique spin and charge degrees of freedom, have primarily been investigated in doped systems where charges are long considered indispensable. Here, we present an alternative route to ultra-efficient…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 N. Fang , U. Erkilic , Y. R. Chang , S. Fujii , D. Yamashita , C. F. Fong , S. Morito , K. Kanahashi , T. Taniguchi , K. Watanabe , K. Ueno , K. Nagashio , Y. K. Kato

The energy band structure of excitons is studied in periodic potentials produced by the short-range interaction between the exciton and electrons of Wigner or Moir\'{e} lattices. Treating the exciton as a point-like dipole that interacts…

Materials Science · Physics 2023-08-16 Dinh Van Tuan , Hanan Dery

We discuss neutral and charged complexes (biexciton and trion) formed by indirect excitons in layered quasi-two-dimensional semiconductor heterostructures. Indirect excitons -- long-lived neutral Coulomb-bound pairs of electrons and holes…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Igor V. Bondarev , Maria R. Vladimirova

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 interaction between a single hole and a two-dimensional, paramagnetic, homogeneous electron gas is studied using diffusion quantum Monte Carlo simulations. Calculations of the electron-hole correlation energy, pair-correlation function,…

Strongly Correlated Electrons · Physics 2016-08-11 G. G. Spink , P. López Ríos , N. D. Drummond , R. J. Needs
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