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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 examine the absorption spectrum of electromagnetic radiation from excitons, where an exciton in the $1s$ state absorbs a photon and makes a transition to the $2p$ state. We demonstrate that the absorption spectrum depends strongly on the…

Condensed Matter · Physics 2009-10-31 K. Johnsen , G. M. Kavoulakis

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

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 have theoretically studied exciton states and photoluminescence spectra of strained wurtzite AlGaN/GaN quantum-well heterostructures. The electron and hole energy spectra are obtained by numerically solving the Schr\"odinger equation,…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 E. P. Pokatilov , D. L. Nika , V. M. Fomin , J. T. Devreese

Pauli exclusion between the carriers of $N$ excitons induces novel many-body effects, quite different from the ones generated by Coulomb interaction. Using our commutation technique for interacting close-to-boson particles, we here…

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

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

Exciton dissociation at heterojunctions in photovoltaic devices is not completely understood despite being fundamentally necessary to generate electrical current. One of the fundamental issues for ab initio calculations is that hybrid…

Mesoscale and Nanoscale Physics · Physics 2017-06-20 Michael J. Waters , Daniel Hashemi , John Kieffer

The bound electron-hole pairs known as excitons govern the optical properties of insulating solids. While their behavior in equilibrium is well-understood theoretically, the nonequilibrium regime at high excitation densities-where phenomena…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Pushpendra Yadav

Excitons, namely neutral excitations in a system of electrons arising from the electron-hole interaction, are often essential to explain optical measurements in materials. They are governed by the Bethe-Salpeter equation, which can be cast…

Strongly Correlated Electrons · Physics 2024-10-29 M. A. García-Blázquez , J. J. Palacios

We consider the effects of electron-hole interaction, 2D confinement and applied electric field on direct allowed transitions in III-V semiconductors, with InGaAs as a study case. Instead of Coulomb interaction, we use Gaussian potential.…

Computational Physics · Physics 2021-01-18 Yuriy D. Sibirmovsky , Ivan S. Vasil'evskii , Nikolay I. Kargin

The effects of the electron-phonon interaction on optical excitations can be understood in terms of exciton-phonon coupling, and require a careful treatment in low-dimensional materials with strongly bound excitons or strong electron-hole…

Materials Science · Physics 2022-02-17 Gabriel Antonius , Steven G. Louie

We derive the ground-state energy of $N$ composite bosons made of fermion pairs using the recently developed composite boson many-body formalism. We concentrate on the $N$-pair energy linear in density. We show that the scattering relevant…

Strongly Correlated Electrons · Physics 2015-06-15 Shiue-Yuan Shiau , Yia-Chung Chang , Monique Combescot

Excitons are two-particle correlated bound states that are formed due to Coulomb interaction between single-particle holes and electrons. In the solid-state, cooperative interactions with surrounding quasiparticles can strongly tailor the…

In this paper we consider the essential electronic excited states in parallel chains of semiconducting polymers that are currently being explored for photovoltaic and light-emitting diode applications. In particular, we focus upon various…

Materials Science · Physics 2009-11-11 Eric R. Bittner , John Glenn Santos Ramon , Stoyan Karabunarliev

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

Excitonic effects in optical spectra and electron-hole pair excitations are described by solutions of the Bethe-Salpeter equation (BSE) that accounts for the Coulomb interaction of excited electron-hole pairs. Although for the computation…

Other Condensed Matter · Physics 2008-08-20 F. Fuchs , C. Rödl , A. Schleife , F. Bechstedt

An excitonic insulator phase is expected to arise from the spontaneous formation of electron-hole pairs (excitons) in semiconductors where the exciton binding energy exceeds the size of the electronic band gap. At low temperature, these…

Strongly Correlated Electrons · Physics 2022-09-02 Selene Mor , Marc Herzog , Claude Monney , Julia Stähler

Our goal is to provide a physical understanding of the elementary coupling between photon and biexciton and to derive the physical characteristics of the biexciton oscillator strength, following the procedure we used for trion. Instead of…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Combescot , O. Betbeder-Matibet

Interlayer excitons are bound states of electrons and holes confined in separate two-dimensional layers. Due to their repulsive dipolar interaction, interlayer excitons can form a correlated liquid. If another electron-hole bilayer is…

Mesoscale and Nanoscale Physics · Physics 2022-03-10 Chao Xu , Michael Fogler
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