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We demonstrate that in semiconductor quantum dots wave functions probed by imaging techniques based on local tunneling spectroscopies like STM show characteristic signatures of electron-electron Coulomb correlation. We predict that such…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Elisa Molinari

The emission spectral pattern of a charged exciton in a semiconductor quantum dot is composed of a quadruplet of linearly polarized lines in the presence of a magnetic field oriented perpendicularly to the direction of the photon momentum.…

Materials Science · Physics 2009-01-16 D. Y. Oberli , M. Byszewski , B. Chalupar , E. Pelucchi , A. Rudra , E. Kapon

We show that in quantum dots the physical quantities probed by local tunneling spectroscopies, namely the quasi-particle wavefunctions of interacting electrons, can considerably deviate from their single-particle counterparts as an effect…

Strongly Correlated Electrons · Physics 2007-05-23 Massimo Rontani , Elisa Molinari

A method for constructing semianalytical strongly correlated wave functions for single and molecular quantum dots is presented. It employs a two-step approach of symmetry breaking at the Hartree-Fock level and of subsequent restoration of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Constantine Yannouleas , Uzi Landman

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

The electron, hole, and exciton g-factors and diamagnetic coefficients have been calculated using envelope-function theory for cylindrical InAs/InP quantum dots in the presence of a magnetic field parallel to the dot symmetry axis. A clear…

Mesoscale and Nanoscale Physics · Physics 2012-05-22 J. van Bree , A. Yu. Silov , P. M. Koenraad , M. E. Flatté , C. E. Pryor

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

Excitons -- bound electron-hole pairs -- play a central role in light-matter interaction phenomena, and are crucial for wide-ranging applications from light harvesting and generation to quantum information processing. A long-standing…

Mesoscale and Nanoscale Physics · Physics 2023-08-15 Jenny Hu , Etienne Lorchat , Xueqi Chen , Kenji Watanabe , Takashi Taniguchi , Tony F. Heinz , Puneet A. Murthy , Thibault Chervy

Quantum dots are semiconductor nano-structures where particle motion is confined in all three spatial dimensions. Since their first experimental realization, nanocrystals confining the quanta of polarization waves, termed excitons, have…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Deepankur Thureja , F. Emre Yazici , Tomasz Smolenski , Martin Kroner , David J. Norris , Atac Imamoglu

We demonstrate sub-wavelength imaging of excitons confined to single CdTe quantum dots. By combining slit-confocal microscopy with a hemispherical solid immersion lens we simultaneously map the emission of thousands of single quantum dots…

Other Condensed Matter · Physics 2009-11-10 K. P. Hewaparakrama , S. Mackowski , H. E. Jackson , L. M. Smith , G. Karczewski , J. Kossut

Confined geometries such as semiconductor quantum dots are promising candidates for fabricating quantum computing devices. When several quantum dots are in proximity, spatial correlation between electrons in the system becomes significant.…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 Dung. N. Pham , Sathwik Bharadwaj , L. R. Ram-Mohan

Coulomb correlations in the optical spectra of semiconductor quantum dots are investigated using a full-diagonalization approach. The resulting multi-exciton spectra are discussed in terms of the symmetry of the involved states.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Norman Baer , Paul Gartner , Frank Jahnke

The electron-hole states of semiconductor quantum dots are investigated within the framework of empirical tight-binding descriptions for Si, as an example of an indirect gap material, and InAs and CdSe as examples of typical III-V and II-VI…

Condensed Matter · Physics 2009-10-31 Seungwon Lee , Lars Jonsson , John W. Wilkins , Garnett W. Bryant , Gerhard Klimeck

The electronic Schr\"odinger equation describes the motion of N electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wavefunctions, depend on 3N variables, three spatial…

Numerical Analysis · Mathematics 2017-01-16 Stephan Scholz , Harry Yserentant

We review the existing and present the new results of $\bf kp$ calculations of the electron, hole, and exciton effective $g$-factors in semiconductor nanocrystals of different shape and symmetry. We propose a simple yet accurate method for…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 M. A. Semina , A. A. Golovatenko , A. V. Rodina

In classical semi-infinite Coulomb fluids, two-point correlation functions exhibit a slow inverse-power law decay along a uniformly charged wall. In this work, we concentrate on the corresponding amplitude function which depends on the…

Statistical Mechanics · Physics 2017-10-12 Ladislav Šamaj

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

A detailed analysis of the electro-optical response of single as well as coupled semiconductor quantum dots is presented. This is based on a realistic ---i.e., fully tridimensional--- description of Coulomb-correlated few-electron states,…

Condensed Matter · Physics 2009-11-07 Eliana Biolatti , Irene D'Amico , Paolo Zanardi , Fausto Rossi

The optical response of quasi-one-dimensional systems is often dominated by tightly bound excitons, that significantly influence their basic electronic properties. Despite their importance for device performance, accurately predicting their…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Cesar E. P. Villegas , Alexandre R. Rocha

The coordinate asymptotics of the wave function for the problem of scattering of three particles with Coulomb interaction is constructed. Representation of hyperspherical functions is used to reduce the Schr\"odinger equation to a system of…

Mathematical Physics · Physics 2023-08-23 S. L. Yakovlev
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