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The energy spectrum and corresponding wave functions of a flat quantum dot with elliptic symmetry are obtained exactly. A detailed study is made of the effect of ellipticity on the energy levels and the corresponding wave functions. The…

Condensed Matter · Physics 2008-04-09 M. van den Broek , F. M. Peeters

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

The self-assembled quantum dot with lens domain has rotational symmetry but it is intrinsically asymmetric when the electron moves perpendicularly to its circular base, {\it i. e.} along the rotational axis. To characterize this asymmetry,…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Arezky H. Rodríguez , L. Meza-Montes

The absorption of electromagnetic radiation of an anisotropic quantum dot is theoretically investigated taking into account the processes associated with simultaneous scattering from ionized impurities. It is shown that the scattering of…

Mesoscale and Nanoscale Physics · Physics 2008-05-16 V. A. Margulis , A. V. Shorokhov

The spectral fluctuations of complex quantum systems, in appropriate limit, are known to be consistent with that obtained from random matrices. However, this relation between the spectral fluctuations of physical systems and random matrices…

Quantum Physics · Physics 2020-09-16 S. Harshini Tekur , M. S. Santhanam

The two dimensional Thomas-Fermi approximation is applied to the problem of parabolic quantum dot composed of N electrons and an on-center impurity. Change induced by impurity on electron density, chemical potential and total energy is…

Other Condensed Matter · Physics 2010-02-05 Berna Gulveren , Ulfet Atav , Mehmet Sahin , Mehmet Tomak

A Green's function formalism to analyze the scattering properties in confined geometries is developed. This includes scattering from a central field inside the guide created e.g. by impurities. For atomic collisions our approach applies to…

Quantum Physics · Physics 2007-05-23 Ji il Kim , Joerg Schmiedmayer , Peter Schmelcher

We examine theoretically and experimentally the localized %and extended electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's…

Pattern Formation and Solitons · Physics 2019-12-18 M. I. Molina , L. Q. English , M-H. Chang , P. G. Kevrekidis

Quantum simulators hold the promise of probing central questions of high-energy physics in tunable condensed matter platforms, for instance the physics of confinement. Local defects can be an obstacle in these setups harming their…

Quantum Gases · Physics 2022-03-15 Joseph Vovrosh , Hongzheng Zhao , Johannes Knolle , Alvise Bastianello

It is shown that the conventional many-body techniques to calculate the Green's functions can be applied to the wide, compressible edge of a quantum Hall bar. The only ansatz we need is the existence of stable density modes that yields a…

Strongly Correlated Electrons · Physics 2009-10-30 J. H. Han

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the $N$-particle eigenmodes.

Strongly Correlated Electrons · Physics 2009-11-11 K. Balzer , C. Nölle , M. Bonitz , A. Filinov

Static properties of an anharmonic potential model for planar two-electron quantum dots are investigated using a method which allows for the exact representation of the matrix elements, including the full Coulombic electron - electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Sebastian Schröter , Paul-Antoine Hervieux , Giovanni Manfredi , Johannes Eiglsperger , Javier Madroñero

We review some exact results on Kondo impurity systems derived from Bethe-ansatz solutions and boundary conformal field theory with particular emphasis on universal aspects of the phenomenon. The finite-size spectra characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Norio Kawakami

A new theoretical framework for the nonequilibrium Green's function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductor nanostructures. The short-range part of impurity potential is included as…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Nobuyuki Sano

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is…

Condensed Matter · Physics 2009-10-22 Wolfgang Haeusler , Bernhard Kramer , PTB Braunschweig

Low-energy continuous states of electron in heterosrtucture with periodically placed quantum-dot sheets are studied theoretically. The Green's function of electron is governed by the Dyson equation with the self-energy function which is…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 F. T. Vasko , V. V. Mitin

The electron and hole states in a CdTe quantum dot containing a single magnetic impurity in an external magnetic field are investigated, using the multiband approximation which includes the heavy hole-light hole coupling effects. The…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Aram Manaselyan , Tapash Chakraborty

We present a detailed analysis of the electronic and optical properties of two-electron quantum dots with a two-dimensional Gaussian confinement potential. We study the effects of Coulomb impurities and the possibility of manipulate the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Diego S. Acosta Coden , Rodolfo H. Romero , Alejandro Ferrón , Sergio S. Gomez