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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

Functional defects in periodic media confine waves - acoustic, electromagnetic, electronic, spin, etc. - in various dimensions, depending on the structure of the defect. While defects are usually modelled by a superlattice with a typical…

Disordered Systems and Neural Networks · Physics 2022-11-28 Marek Kozoň , Ad Lagendijk , Matthias Schlottbom , Jaap J. W. van der Vegt , Willem L. Vos

We study the effects of electron-electron correlations and confinement potential on the far-infrared spectrum of a lateral two-electron quantum dot molecule by exact diagonalization. The calculated spectra directly reflect the lowered…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , A. Harju , R. M. Nieminen

In this work we investigate the continuous confinement of quantum systems from three to two dimensions. Two different methods will be used and related. In the first one the confinement is achieved by putting the system under the effect of…

Atomic Physics · Physics 2020-08-03 E. Garrido , A. S. Jensen , R. Álvarez-Rodríguez

In this paper we study the quantum dynamics of an electron/hole in a two-dimensional quantum ring within a spherical space. For this geometry, we consider a harmonic confining potential. Suggesting that the quantum ring is affected by the…

Quantum Physics · Physics 2020-01-08 A. L. Silva Netto , B. Farias , J. Carvalho , C. Furtado

In this paper, we investigate the Schr\"odinger equation in a three-dimensional helically twisted space characterized by a non-trivial torsion parameter. By applying exact separation of variables, we derive the radial equation governing the…

Quantum Physics · Physics 2025-07-08 Frankbelson dos S. Azevedo , Faizuddin Ahmed , Edilberto O. Silva

In recent years the problem of correct description of quantum fluids in the confined geometry at nanoscale length has emerged. It has been recognized that the quantum fluids at these circumstances can be considered as a new state of quantum…

Mesoscale and Nanoscale Physics · Physics 2010-12-15 D. A. Tayurskii , Yu. V. Lysogorskii

Entanglement can be generated by two electrons in a spin-zero state on a semiconducting single-walled carbon nanotube. The two electrons, one weakly bound in a shallow well in the conduction band, and the other injected into the conduction…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Gunlycke , J. H. Jefferson , T. Rejec , A. Ramsak , D. G. Pettifor , G. A. D. Briggs

We examine the impact of quantum confinement on the interaction potential between two charges in two-dimensional semiconductor nanosheets in solution. The resulting effective potential depends on two length scales, namely the thickness $d$…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 F. García Flórez , Laurens D. A. Siebbeles , H. T. C. Stoof

Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement R\'{e}nyi…

High Energy Physics - Theory · Physics 2015-06-15 Dmitri Fursaev

We present a theoretical analysis of the effect of dielectric confinement on the Coulomb interaction in dielectrically modulated quantum structures. We discuss the implications of the strong enhancement of the electron-hole and…

Materials Science · Physics 2009-10-31 G. Goldoni , F. Rossi , A. Orlandi , M. Rontani , F. Manghi , E. Molinari

Quantum confinement of surface electrons in two-dimensional metal-organic porous networks offers a powerful route to engineer electronic states for emerging quantum and spintronic technologies at the molecular scale. To date, such…

We present a simple model together with its physical implementation which allows one to generate multipartite entanglement between several spatial modes of the electromagnetic field. It is based on parametric down-conversion with N pairs of…

Quantum Physics · Physics 2010-09-10 D. Daems , N. J. Cerf

This work provides a complete description of entanglement properties between electrons inside coupled quantum molecules, nanoestructures which consist of two quantum dots. Each electron can tunnel between the two quantum dots inside the…

Quantum Physics · Physics 2015-03-09 P. A. Oliveira , L. Sanz

In this paper we systematically analyze the electronic structures of polar and nonpolar wurtzite-InN/GaN quantum dots and their modification due to the quantum-confined Stark effect caused by intrinsic fields. This is achieved by combining…

The motion of quantum particles homogeneously constrained to a curved surface is affected by a curvature induced geometric potential. Here, we consider the case of inhomogeneous confinement and derive the effective Hamiltonian by extending…

Quantum Physics · Physics 2023-03-01 Guo-Hua Liang , Meng-Yun Lai

Context: Due to advances in synthesizing lower dimensional materials there is the challenge of finding the wave equation that effectively describes quantum particles moving on 1D and 2D domains. Jensen and Koppe and Da Costa independently…

Mathematical Physics · Physics 2024-06-10 Eduardo V. S. Anjos , Antonio C. Pavão , Luiz C. B. da Silva , Cristiano C. Bastos

The curvature effect on the electronic states of a deformed cylindrical conducting surface of variable diameter is theoretically investigated. The quantum confinement of electrons normal to the curved surface results in an effective…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hisao Taira , Hiroyuki Shima

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions only sharply emerge in the thermodynamic limit. The resulting…

Quantum Physics · Physics 2025-04-09 Lauritz van Luijk , Alexander Stottmeister , Henrik Wilming