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The curvature effect on a quantum dot with impurity is investigated. The model is considered on the Lobachevsky plane. The confinement and impurity potentials are chosen so that the model is explicitly solvable. The Green function as well…

Mathematical Physics · Physics 2011-11-10 V. Geyler , P. Stovicek , M. Tusek

We have studied the single-electron transport spectrum of a quantum dot in GaAs/AlGaAs resonant tunneling device. The measured spectrum has irregularities indicating a broken circular symmetry. We model the system with an external potential…

Strongly Correlated Electrons · Physics 2009-11-10 E. Rasanen , J. Konemann , R. J. Haug , M. J. Puska , R. M. Nieminen

A model of a quantum dot with impurity in the Lobachevsky plane is considered. Relying on explicit formulae for the Green function and the Krein $Q-$function which have been derived in a previous work we focus on the numerical analysis of…

Mathematical Physics · Physics 2008-11-25 P. Stovicek , M. Tusek

We consider an "impurity" with a spin degree of freedom coupled to a finite reservoir of non-interacting electrons, a system which may be realized by either a true impurity in a metallic nano-particle or a small quantum dot coupled to a…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 R. K. Kaul , D. Ullmo , G. Zarand , S. Chandrasekharan , H. U. Baranger

Finite size effects alter not only the energy levels of small systems, but can also lead to new effective interactions within these systems. Here the problem of low energy quantum scattering by a spherically symmetric short range potential…

Quantum Physics · Physics 2009-11-11 J. I. Kim , J. Schmiedmayer , P. Schmelcher

A fundamental tenet of quantum mechanics is that the energy spectrum of a quantum system shall remain stable against infinitesimally weak and spatially confined perturbations. In this article, we demonstrate that this principle of spectral…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Chang Shu , Kai Zhang , Kai Sun

Within the framework of zero-range potential model in the ap-proach of effective mass, the impurity absorption by the complex Quantum Dot-Impurity Center in an external constant uniform magnetic field is considered. Under condition that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. D. Krevchik , A. B. Grunin , A. K. Aringazin , M. B. Semenov

The hole energy spectrum with the ion of an acceptor impurity in the quantum dot has been calculated using the spherical approximation of the multiband Luttinger model. The dependence of the hole energy levels on the impurity location in…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 V. I. Boichuk , R. Ya. Leshko , I. V. Bilynskyi , L. M. Turyanska

A Green function analysis has been developed for quasiparticle spectrum and localized states of a 2D graphene sheet in presence of different types of substitutional disorder, including vacancies. The anomalous character of impurity effects…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. G. Pogorelov

We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a $\delta$-coupling at the points where the rings touch. We start…

Mathematical Physics · Physics 2020-01-30 Pavel Exner , Stepan Manko

We study the observable properties of quantum systems which involve a quantum continuum as a subpart. We show in a very general way that in any system, which consists of at least two isolated states coupled to a continuum, the spectral…

Strongly Correlated Electrons · Physics 2019-05-01 Nikolay Gnezdilov , Alexander Krikun , Koenraad Schalm , Jan Zaanen

The influence of isolated impurity atoms on the electron energy spectrum in a parabolic quantum dot in quantizing magnetic field is studied. The impurity potential is approximated by a Gaussian separable operator which allows one to obtain…

Mesoscale and Nanoscale Physics · Physics 2008-12-02 A. M. Ermolaev , G. I. Rashba

The use of low-dimensional structures such as quantum wells, wires or dots in the absorbing regions of solar cells strongly affects the spectral response of the latter, the spectral properties being drastically modified by quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 U. Aeberhard

The study of the phenomenon of quantum weak turbulence is extended by determining the quasiparticle spectrum associated with such a system using a Green's function approach. The quasiparticle spectrum calculated establishes the dissipative…

Statistical Mechanics · Physics 2016-08-31 Devashish Sanyal , Siddhartha Sen

In the theoretical analyses of impurity effects in superconductors the assumption is usually made that all quantities, except for the Green functions, are slowly varying functions of energy. When this so-called Fermi Surface Restricted…

Superconductivity · Physics 2007-05-23 C. T. Rieck , K. Scharnberg , S. Scheffler

A quantum impurity attached to an interacting quantum wire gives rise to an array of of new phenomena. Using Bethe Ansatz we solve exactly models describing two geometries of a quantum dot coupled to an interacting quantum wire: a quantum…

Strongly Correlated Electrons · Physics 2018-04-25 Colin Rylands , Natan Andrei

We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly…

Mathematical Physics · Physics 2022-07-12 Marzieh Baradaran , Pavel Exner , Milos Tater

The model of a spherical quantum dot with several donor impurities on its surface is suggested. The electron energy spectra are studied as a function of the quantum dot radius and the number of impurities. Several cases of the location of…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 R. Ya. Leshko , I. V. Bilynskyi , O. V. Leshko , V. B. Hols'kyi

Magneto-optical properties of the quantum dot - impurity center (QD-IC) systems synthesized in a transparent dielectric matrix are considered. For the QD one-electron state description the parabolic model of the confinement potential is…

Strongly Correlated Electrons · Physics 2013-05-29 V. D. Krevchik , A. B. Grunin , A. K. Aringazin , M. B. Semenov

A two-dimensional quantum mechanical system consisting of a particle coupled to two magnetic impurities of different strengths, in a harmonic potential, is considered. Topological boundary conditions at impurity locations imply that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefan Mashkevich , Jan Myrheim , Stéphane Ouvry
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