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The ground state energy of exciton bound by distant ionized donor impurity in two-dimensional semiconductor quantum well (QW) is studied theoretically within the Hartree approach in the effective mass approximation. The influence of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Marcin Tytus , Wojciech Donderowicz , Lucjan Jacak

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 stability of a quantum critical point in the $O(N)$ universality class with respect to an elastic coupling, that preserves $O(N)$ symmetry, is investigated for isotropic elasticity in the framework of the renormalization group (RG)…

Strongly Correlated Electrons · Physics 2023-08-10 Saheli Sarkar , Lars Franke , Nikolas Grivas , Markus Garst

The binding energy of a negatively charged hydrogenic impurity with on- and off-center position in a spherical Gaussian quantum dot was calculated with the configuration interaction method. Our calculations show that $E_b$ is always…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sergio S. Gomez , Rodolfo H. Romero

We study the long-time behavior of the 3-dimensional repulsive nonlinear Hartree equation with an external attractive Coulomb potential $-Z/|x|$, which is a nonlinear model for the quantum dynamics of an atom. We show that, after a…

Analysis of PDEs · Mathematics 2016-01-20 Enno Lenzmann , Mathieu Lewin

Excitons are bound states of electrons and holes whose band topology arises from an interplay between the topology of the underlying electronic bands and the structure of the electron-hole interaction. In crystalline solids, symmetry…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Yoonseok Hwang , Henry Davenport , Frank Schindler

We consider radial solutions to the Schr\"odinger-Poisson system in three dimensions with an external smooth potential with Coulomb-like decay. Such a system can be viewed as a model for the interaction of dark matter with a bright matter…

Analysis of PDEs · Mathematics 2016-09-13 Sarah Raynor , Jeremy L. Marzuola , Gideon Simpson

We study by NRG the spectral properties of a two-orbital Anderson impurity model in the presence of an exchange splitting which follows either regular or inverted Hund's rules. The phase diagram contains a non-Fermi liquid fixed point…

Strongly Correlated Electrons · Physics 2007-05-23 Lorenzo De Leo , Michele Fabrizio

We study a double quantum dot in the regime where each dot carries a spin-1/2. This system is described by the 2-impurity Kondo model, having a non-Fermi liquid fixed point for a critical value of the inter-impurity coupling. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Eran Sela , Ian Affleck

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat background. In the case of a circular equilibrium…

High Energy Physics - Theory · Physics 2009-11-10 Brandon Carter , Xavier Martin

We study the stability of the circular orbits of the electromagnetic two-body problem of classical electrodynamics. We introduce the concept of resonant dissipation, i.e. a motion that radiates the center-of-mass energy while the…

Atomic Physics · Physics 2007-05-23 Jayme De Luca

For an anisotropic euclidean $\phi^4$-theory with two interactions $[u (\sum_{i=1^M {\phi}_i^2)^2+v \sum_{i=1}^M \phi_i^4]$ the $\beta$-functions are calculated from five-loop perturbation expansions in $d=4-\varepsilon$ dimensions, using…

Quantum Physics · Physics 2009-10-30 H. Kleinert , S. Thoms , V. Schulte-Frohlinde

We obtain bounds for the minimum and maximum mass/radius ratio of a stable, charged, spherically symmetric compact object in a $D$-dimensional space-time in the framework of general relativity, and in the presence of dark energy. The total…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Piyabut Burikham , Krai Cheamsawat , Tiberiu Harko , Matthew J. Lake

The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the…

Functional Analysis · Mathematics 2019-12-05 Birgit Jacob , Sebastian Möller , Christian Wyss

We consider a non-minimally coupled Einstein-Maxwell gravity with no $U(1)$ symmetry property to study stability of an electrostatic star via canonical quantization approach and obtain that the stability is free of gauge field effects. By…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Hossein Ghaffarnejad

We prove a scattering result near certain steady states for a Hartree equation for a random field. This equation describes the evolution of a system of infinitely many particles. It is an analogous formulation of the usual Hartree equation…

Analysis of PDEs · Mathematics 2020-07-02 Charles Collot , Anne-Sophie de Suzzoni

We study scattering of a composite quasiparticle, which possesses a degree of freedom corresponding to relative separation between two bound excitations, by a delta-like impurity potential on a one-dimensional discrete lattice. Firstly, we…

Quantum Physics · Physics 2017-09-06 Fumika Suzuki , Marina Litinskaya , William G. Unruh

In this article we discuss the ground state of a parabolically confined quantum dots in the limit of very strong magnetic fields where the electron system is completely spin-polarized and all electrons are in the lowest Landau level.…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , S. -R. Eric Yang , M. D. Johnson

The donor binding energies associated with the ground state and a few excited states, are computed as a function of the dot size and the impurity position within two and three dimensional GaAs quantum dots. The calculation has been done…

Materials Science · Physics 2007-05-23 S. Baskoutas , A. F. Terzis

We have used magneto-photoluminescence measurements to establish that InP/GaAs quantum dots have a type-II (staggered) band alignment. The average excitonic Bohr radius and the binding energy are estimated to be 15nm and 1.5 meV…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Bhavtosh Bansal , S. Godefroo , M. Hayne , G. Medeiros- Ribeiro , V. V. Moshchalkov
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