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This review focuses on the studies and computations of few-body systems of electrons and holes in condensed matter physics. We analyze and illustrate the application of a variety of methods for description of two- three- and four-body…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Roman Ya. Kezerashvili

It is known experimentally that stable few-body clusters containing negatively-charged electrons (e) and positively-charged holes (h) can exist in low-dimensional semiconductor nanostructures. In addition to the familiar exciton (e+h),…

Condensed Matter · Physics 2009-10-30 A. J. Markvardsen , N. F. Johnson

The formation and various possible decay processes of neutral and charged excitonic complexes in electronic integral and fractional quantum Hall systems are discussed. The excitonic complexes are bound states of a small number of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Arkadiusz Wojs , John J Quinn

Systems of up to twelve electrons and six holes on the Haldane sphere are studied by exact numerical diagonalization. The low lying states of the system involve bound excitonic complexes such as (X^n)-. The angular momenta of these…

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

Two-dimensional systems containing Ne electrons and Nh holes (Ne>Nh) strongly correlated through Coulomb interactions in the presence of a large magnetic field are studied by exact numerical diagonalization. Low lying states are found to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John J. Quinn , Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi

Theory of electronic and optical properties of exciton and bi-exciton complexes confined in CdSe spherical nanocrystals is presented. The electron and hole states are computed using atomistic $sp^3d^5s^*$ tight binding Hamiltonian including…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Marek Korkusinski , Oleksandr Voznyy , Pawel Hawrylak

Excitonic systems localized in a single InAs/GaAs parabolic quantum dot are studied theoretically using an unrestricted Hartree-Fock method. The binding energies of excitons, conventional biexcitons and quadrons - four particles system of…

Mesoscale and Nanoscale Physics · Physics 2021-12-09 Nguyen Hong Quang , Nguyen Que Huong , Tran Anh Dung , Nguyen Toan Thang , Hoang Anh Tuan

Single-layer quantum dot gate potential causes type-II band alignment, i.e. electrostatically confines holes and repels electrons, or vice versa. Hence, the confinement of excitons in gated type II quantum dots involves a delicate balance…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Daniel Miravet , Ludmiła Szulakowska , Maciej Bieniek , Marek Korkusiński , Paweł Hawrylak

The region surrounding the excitonic insulator phase is a three-component plasma composed of electrons, holes, and excitons. Due to the extended nature of the excitons, their presence influences the surrounding electrons and holes. We…

Strongly Correlated Electrons · Physics 2015-06-22 B Zenker , D Ihle , F X Bronold , H Fehske

Excitons in the weakly interacting regime can be well-described by many-body perturbation theories such as the Bethe-Salpeter equation formalism. However, for materials such as transition metal dichalcogenides moir\'e heterostructures under…

Materials Science · Physics 2026-03-16 Fangzhou Zhao , Carlos Mejuto-Zaera , Angel Rubio , Vojtěch Vlček

he properties of excitons formed in spherical quantum dots are studied using the $\mathbf{k}\cdot\mathbf{p}$ method within the Hartree approximation. The spherical quantum dots considered have a central core and several concentric layers of…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 Mariano Garagiola , Omar Osenda

The formation and possible decay processes of neutral and charged excitonic complexes in electronic integral and fractional quantum Hall systems are discussed. The excitonic complexes are bound states of a small number of the relevant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John J Quinn , Arkadiusz Wojs

In this work we study theoretically and experimentally the multi-particle structure of the so-called type-II quantum dots with spatially separated electrons and holes. Our calculations based on customarily developed full configuration…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Petr Klenovský , Petr Steindl , Dominique Geffroy

We theoretically study the coupled modes of a medium-size quantum dot, which may confine a maximum of ten electron-hole pairs, and a single photonic mode of an optical microcavity. Ground-state and excitation energies, exciton-photon mixing…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Herbert Vinck , Boris A. Rodriguez , Augusto Gonzalez

In semiconductor nanostructures, optical excitation typically creates bound electron-hole states, such as excitons, trions, and larger complexes. Their relative motion is described by the Wannier equation, which is valid only for spatially…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Bruno Hausmann , Marten Richter

Important questions concern the existence of excitonic strings in organic compounds and their signatures in the photophysics of these systems. A model in terms of Hard Core Bosons is proposed to study this problem in one dimension. Mainly…

Condensed Matter · Physics 2009-10-31 S. Pleutin

Electron-hole systems on a Haldane sphere are studied by exact numerical diagonalization. Low lying states contain one or more types of bound charged excitonic complexes Xk-, interacting through appropriate pseudopotentials. Incompressible…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi , John J. Quinn

Second order perturbation theory and a Lipkin-Nogami scheme combined with an exact Monte Carlo projection after variation are applied to compute the ground-state energy of $6\le N\le 210$ electron-hole pairs confined in a parabolic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Boris A. Rodriguez , Augusto Gonzalez , Luis Quiroga , Roberto Capote , Ferney Rodriguez

With the ever-growing interest in quantum computing, understanding the behaviour of excitons in monolayer quantum dots has become a topic of great relevance. In this paper, we consider a Wannier exciton confined in a triangular quantum dot…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 M. F. C. Martins Quintela , N. M. R. Peres

We present a comprehensive study of a one-dimensional two-orbital model at and below quarter-filling that realizes a number of unconventional phases. In particular, we find an excitonic density wave in which excitons quasi-condense with…

Strongly Correlated Electrons · Physics 2022-09-12 Chun Yang , Adrian E. Feiguin
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