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We present a generalized hydrogen model for the binding energies ($E_B$) of excitons in two-dimensional (2D) materials that sheds light on the fundamental differences between excitons in two and three dimensions. In contrast to the…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Thomas Olsen , Simone Latini , Filip Rasmussen , Kristian S. Thygesen

Exciton problem is solved in the two-dimensional Dirac model with allowance for strong electron-hole attraction. The exciton binding energy is assumed smaller than but comparable to the band gap. The exciton wavefunction is found in the…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 N. V. Leppenen , L. E. Golub , E. L. Ivchenko

We study the binding energies and optical properties of direct and indirect excitons in monolayers and double layer heterostructures of Xenes: silicene, germanene, and stanene. It is demonstrated that an external electric field can be used…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Matthew N Brunetti , Oleg L. Berman , Roman Ya. Kezerashvili

Binding energy calculation in two-dimensional (2D) materials is crucial in determining their electronic and optical properties pertaining to enhanced Coulomb interactions between charge carriers due to quantum confinement and reduced…

Applied Physics · Physics 2020-07-01 S. Ahmad , M. Zubair , O. Jalil , M. Q. Mehmood , U. Younis , X. Liu , K. W. Ang , L. K. Ang

The energy spectra and wavefunctions of bound excitons in important two-dimensional (2D) graphene derivatives, i.e., graphyne and graphane, are found to be strongly modified by quantum confinement, making them qualitatively different from…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Shouting Huang , Yufeng Liang , Li Yang

In this colloquium, we review the research on excitons in van der Waals heterostructures from the point of view of variational calculations. We first make a presentation of the current and past literature, followed by a discussion on the…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 M. F. C. Martins Quintela , N. M. R. Peres

Low-dimensional materials differ from their bulk counterpart in many respects. In particular, the screening of the Coulomb interaction is strongly reduced, which can have important consequences such as the significant increase of exciton…

Exciton binding energy and excited states in monolayers of tungsten diselenide (WSe2) are investigated using the combined linear absorption and two-photon photoluminescence excitation spectroscopy. The exciton binding energy is determined…

Materials Science · Physics 2015-06-19 Keliang He , Nardeep Kumar , Liang Zhao , Zefang Wang , Kin Fai Mak , Hui Zhao , Jie Shan

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

Using a covariant embedding formalism, we find the effective field equations for the Electromagnetism that emerge on branes in the context of Dvali-Gabadadze-Porrati (DGP) braneworld scenario. Our treatment is essentially geometrical. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 F. Dahia , C. Romero , M. A. S. Cruz

We present a theoretical study of the exciton binding energy for anisotropic two-dimensional crystals. We obtain analytical expressions from variational wave functions in different limits of the screening length to exciton size ratio and…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Elsa Prada , J. V. Alvarez , K. L. Narasimha-Acharya , F. J. Bailen , J. J. Palacios

In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 M. F. C. Martins Quintela , J. C. G. Henriques , N. M. R. Peres

A theory of the spin exciton capture by a magnetic impurity in a 2D electron gas is developed. We consider the resonance model for electron scattering by a transition metal impurity and calculate the binding potential for spin excitons.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. Fleurov , K. Kikoin

Excitonic effects play a particularly important role in the optoelectronic behavior of two-dimensional (2D) semiconductors. To facilitate the interpretation of experimental photoabsorption and photoluminescence spectra we provide…

Mesoscale and Nanoscale Physics · Physics 2018-01-04 M. Szyniszewski , E. Mostaani , N. D. Drummond , V. I. Fal'ko

We present a computational approach for exciton calculations in two-dimensional (2D) materials within the Bethe-Salpeter equation (BSE) framework, employing an atomistic description with point-like orbitals. Unlike widespread efficient…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 P. Ninhos , A. J. Uría-Álvarez , C. Tserkezis , N. A. Mortensen , J. J. Palacios

Research on 2D materials has been one of the fastest-growing fields in condensed matter physics and materials science in the past 10 years. The low dimensionality and strong correlations of 2D systems give rise to electronic and structural…

Mesoscale and Nanoscale Physics · Physics 2021-04-26 Aleksandr Rodin , Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

Engineering of the dielectric environment represents a powerful strategy to control the electronic and optical properties of two-dimensional (2D) materials without compromising their structural integrity. Here we show that the recent…

Materials Science · Physics 2020-11-18 Anders C. Riis-Jensen , Morten N. Gjerding , Saverio Russo , Kristian S. Thygesen

It is shown that exciton swapping between two graphene sheets may occur under specific conditions. A magnetically tunable optical filter is described to demonstrate this new effect. Mathematically, it is shown that two turbostratic graphene…

High Energy Physics - Phenomenology · Physics 2014-02-06 Michael Sarrazin , Fabrice Petit

A theory of charged excitons X- in a dilute 2D electron gas in a high magnetic field is presented. In contrast to previous calculations, three bound X- states (one singlet and two triplets) are found in a narrow and symmetric GaAs quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn , Pawel Hawrylak

Excitons, trions, biexcitons, and exciton-trion complexes in two-dimensional transition metal dichalcogenide sheets of MoS$_2$, MoSe$_2$, MoTe$_2$, WS$_2$ and WSe$_2$ are studied by means of density functional theory and path integral Monte…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 Ilkka Kylänpää , Hannu-Pekka Komsa
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