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We derive the matrix elements of Coulomb interaction between states with different number of electrons and holes in a semiconductor nanocrystal within the 8-band $\mathbf{k}\cdot\mathbf{p}$ theory. These matrix elements are responsible for…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Maryam Azizi , Paweł Machnikowski

Because of their conveniently tunable optoelectronic properties, semiconductor nanocrystals have become established components for new devices and emergent technologies, in a broad range of applications which include agriculture, medicine,…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Carlos A. Bohórquez-Quincos , Julián G. Cordero-Niño , Hanz Y. Ramírez-Gómez

The effect of carrier multiplication (CM) in semiconductor nanocrystals is systematically treated by employing an exciton scattering approach. Using projection operators, we reduce the Coulomb coupled multi-exciton dynamics to scattering…

Mesoscale and Nanoscale Physics · Physics 2010-08-31 Andrei Piryatinski , Kirill A. Velizhanin

We present a theory of highly excited interacting carriers confined in a semiconductor nanostructure, incorporating Auger coupling between excited states with different number of excitations. The Coulomb matrix elements connecting exciton,…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Marek Korkusinski , Oleksandr Voznyy , Pawel Hawrylak

We study the coherent mixing between two-particle (single exciton) and four-particle (biexciton) states of a semiconductor nanocrystal resulting from the coulomb coupling between states with different numbers of electron-hole pairs. Using a…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 P. Kowalski , P. Machnikowski

Coulomb integrals, i.e., matrix elements of bare or screened Coulomb interaction between one-electron orbitals, are fundamental objects in many approaches developed to tackle the challenging problem of calculating the electronic structure…

Strongly Correlated Electrons · Physics 2023-06-21 Coraline Letouzé , Guillaume Radtke , Benjamin Lenz , Christian Brouder

We discuss a variety of many-body approaches, within effective-mass and $\mathbf{k}\cdot\mathbf{p}$ envelope-function formalisms, for calculating correlated single excitons in semiconductor nanocrystals (NCs) to all orders in the…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 S. A. Blundell , C. Guet

The optical spectra of CdSe nanocrystals up to 55 A in diameter are analyzed in a wide range of energies from the fine structure of the low-energy excitations to the so-called high-energy transitions. We apply a symmetry-based method in two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Perez-Conde , A. K. Bhattacharjee

A novel approach for the control of exciton-exciton Coulomb coupling in semiconductor macroatoms/molecules is proposed. We show that by applying properly tailored external fields, we can induce ---or significantly reinforce--- excitonic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. D'Amico , F. Rossi

Using previously developed exciton scattering model accounting for the interband, i.e., exciton-biexciton, Coulomb interactions in semiconductor nanocrystals (NCs), we derive a closed set of equations for 2D double-quantum coherence signal.…

Mesoscale and Nanoscale Physics · Physics 2011-05-18 Kirill A. Velizhanin , Andrei Piryatinski

Entanglement of the excitonic states in the system of two coupled semiconductor microcrystallites, whose sizes are much larger than the Bohr radius of exciton in bulk semiconductor but smaller than the relevant optical wavelength, is…

Quantum Physics · Physics 2009-08-03 Yu-xi Liu , Sahin K. Ozdemir , Adam Miranowicz , Masato Koashi , Nobuyuki Imoto

Single-walled carbon nanotubes are strongly correlated systems with large Coulomb repulsion between two electrons occupying the same $p_z$ orbital. Within a molecular Hamiltonian appropriate for correlated $\pi$-electron systems, we show…

Materials Science · Physics 2009-02-15 Zhendong Wang , Demetra Psiachos , Roberto F. Badilla , Sumit Mazumdar

Multi-exciton correlations shape the photo-induced response of nanostructured materials, particularly when interactions are enhanced by light confinement. Here multidimensional coherent spectroscopy is used to quantify biexciton and…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Giuseppe Fumero , Jagannath Paul , Jared K. Wahlstrand , Alan D. Bristow

We present a microscopic and fully quantized model to investigate the interaction between semiconductor nanostructures and quantum light fields including the many-body Coloumb interaction between photoexcited electrons and holes. Our…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Hendrik Rose , Stefan Schumacher , Torsten Meier

Electronic states in boron-nitride and boron-carbon-nitride nanoribbons with zigzag edges are studied using the extended Hubbard model with nearest neighbor Coulomb interactions. The charge and spin polarized states are considered, and the…

Strongly Correlated Electrons · Physics 2009-09-29 Kikuo Harigaya

We present a theoretical study of Coulomb exchange interaction for electrons confined in a cylindrical quantum wire and subject to a Rashba-type spin-orbit coupling with radial electric field. The effect of spin splitting on the…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 F. S. Gray , T. Kernreiter , M. Governale , U. Zuelicke

The population dynamics of single- and bi-exciton states in semiconductor nanocrystals is modeled numerically in the presence of Coulomb coupling between single- and two-exciton states and a dissipation channel in order to study the…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Maryam Azizi , Paweł Machnikowski

Monolayer transition metal dichalcogenides feature tightly bound bright excitons at the degenerate valleys, where electron-hole Coulomb exchange interaction strongly couples the valley pseudospin to the momentum of exciton. Placed on…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Xu-Chen Yang , Hongyi Yu , Wang Yao

In quantum-kinetic approaches to the dynamics of Coulomb-bound many-body correlations such as excitons, trions, biexcitons or higher-order correlations, a detailed knowledge of the many-body Coulomb Hamiltonian serving as a starting point…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Henry Mittenzwey , Andreas Knorr , Thorsten Deilmann

The electronic structure of radially polarized excitons in structured nanorings is analyzed, with emphasis in the ground-state properties and their dependence under applied magnetic fields perpendicular to the ring plane. The electron-hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Z. Barticevic , M. Pacheco , J. Simonin , C. R. Proetto
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