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The numerical analysis of strongly interacting nanostructures requires powerful techniques. Recently developed methods, such as the time-dependent density matrix renormalization group (tDMRG) approach or the embedded-cluster approximation…

Strongly Correlated Electrons · Physics 2009-11-13 F. Heidrich-Meisner , G. B. Martins , C. A. Busser , K. A. Al-Hassanieh , A. E. Feiguin , G. Chiappe , E. V. Anda , E. Dagotto

Quantum dot light-emitting diodes (QLEDs) are promising building blocks for prospective lighting and display applications. Despite the significant advancements achieved towards increasing the efficiency and brightness levels of QLEDs, the…

Spherical shaped Si quantum dots (QDs) embedded into the SiO2 substrate are considered in the single sub-band effective mass approach. Nonparabolicity of the Si conduction band is described by the energy dependence of electron effective…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 I. Filikhin , S. G. Matinyan , B. K. Schmid , B. Vlahovic

In this paper, we explore (2+1)D quantum electrodynamics (QED) at finite density on a quantum computer, including two fermion flavors. Our method employs an efficient gauge-invariant ansatz together with a quantum circuit structure that…

High Energy Physics - Lattice · Physics 2025-09-26 Emil Otis Rosanowski , Arianna Crippa , Lena Funcke , Paulo Vitor Itaborai , Karl Jansen , Simran Singh

We consider a square lattice configuration of circular gate-defined quantum dots in an unbiased graphene sheet and calculate the electronic, particularly spectral properties of finite albeit actual sample sized systems by means of a…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Pieper , R. L. Heinisch , G. Wellein , H. Fehske

We present time-dependent density functional theory (TDDFT) calculations of fluorescence emission energies for 284 distinct graphene quantum dots (GQDs) of varying shapes (square, hexagonal, and amorphous) and sizes ($\sim$1-2 nm). These…

Materials Science · Physics 2024-10-22 Mustafa Çoşkun Özdemir , Caner Ünlü , Şener Özönder

The development of high-performance electron sources requires theoretical frameworks that accurately link the microscopic electronic properties of cathode materials to their macroscopic photoemission observables. Here, we present a…

Materials Science · Physics 2026-02-16 Richard Schier , Chen Wang , Jonas Dube , Julius Kühn , Alice Galdi , Thorsten Kamps , Caterina Cocchi

The bound states of a particle in a lens-shaped quantum dot with finite confinement potential are obtained in the envelope function approximation. The quantum dot has circular base with radius $a$ and maximum cap height $b$, and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Arezky H. Rodríguez , Hanz Y. Ramírez

The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov-Galerkin method are used. It is shown that the FEM gives…

Fluid Dynamics · Physics 2016-09-20 Anna Karczewska , Piotr Rozmej , Maciej Szczeciński , Bartosz Boguniewicz

This paper analyses the finite element component of the error when using preintegration to approximate the cdf and pdf for uncertainty quantification (UQ) problems involving elliptic PDEs with random inputs. It is a follow up to Gilbert,…

Numerical Analysis · Mathematics 2025-10-28 Alexander D. Gilbert

Dilute arrays of GaAs/AlGaAs modulation-doped quantum dots (QDs) fabricated by electron-beam lithography and low impact reactive-ion etching exhibit highly homogeneous luminescence. Single quantum dots display spectral emission with peak…

The electronic structure of nanoscale moieties (such as molecules and quantum dots) governs the properties and performance of the bottom-up fabricated devices based on their assemblies. Accordingly, simple and faster experimental methods…

We present atomistic computations within an empirical pseudopotential framework for the electron $s$-shell ground state $g$ tensor of InGaAs quantum dots (QDs) embedded to host matrices that grant electronic confinement. A large structural…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Mustafa Kahraman , Ceyhun Bulutay

Quantum shape effect appears under the size-invariant shape transformations of strongly confined structures. Such a transformation distinctively influences the thermodynamic properties of confined particles. Due to their characteristic…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Alhun Aydin , Jonas Fransson , Altug Sisman

First principles linear combinations of Gaussian type orbitals-fitting function (LCGTO-FF) electronic structure calculations are used to study thickness dependencies in the surface energies and work functions of ultra-thin (111) films of…

Strongly Correlated Electrons · Physics 2009-11-10 A. K. Ray , J. C. Boettger

We use an improved version of the standard effective mass approximation model to describe quantum effects in nanometric semiconductor Quantum Dots (QDs). This allows analytic computation of relevant quantities to a very large extent. We…

Materials Science · Physics 2011-06-21 Baptiste Billaud , T. T. Truong

The effective mass approximation (EMA) could be an efficient method for the computational study of semiconductor nanostructures with sizes too large to be handled by first-principles calculations, but the scheme to accurately and reliably…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Hyeonwoo Yeo , Jun Seong Lee , Muhammad Ejaz Khan , Hyo Seok Kim , Duk Young Jeon , Yong-Hoon Kim

Density functional calculations on atoms are often used for determining accurate initial guesses as well as generating various types of pseudopotential approximations and efficient atomic-orbital basis sets for polyatomic calculations. To…

Computational Physics · Physics 2023-10-30 Susi Lehtola

A new method based on the concept of probability distribution is proposed to analyze the finite volume energy spectrum in lattice QCD. Using synthetic lattice data, we demonstrate that for the channel with quantum numbers of the…

High Energy Physics - Lattice · Physics 2012-06-13 Veronique Bernard , Michael Lage , Ulf-G. Meißner , Akaki Rusetsky

We apply perturbative effective mass theory as a broadly applicable theoretical model for quantum confinement (QC) in all Si and Ge nanostructures including quantum wells (QWs), wires (Q-wires) and dots (QDs). Within the limits of strong,…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Eric G. Barbagiovanni , David J. Lockwood , Peter J. Simpson , Lyudmila V. Goncharova