Two-electron quantum ring in short pulses

Silotia, Poonam; Meena, Rakesh Kumar; Prasad, Vinod

doi:10.1088/1674-1056/24/2/020303

Cited by 3 publications

(4 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Even atoms with high atomic numbers have been studied in different confinements. [23][24][25][26][27][28] Study of harmonium atom can be helpful in density functional theory and to study the optical properties of two-electron quantum dot. Ghoshal and Ho [21] studied the ground state of two-electron system in generalized screened potential.…”

Section: Introductionmentioning

confidence: 99%

“…Since then much of the work has been devoted to study confined atoms. [23][24][25][26][27][28] Study of harmonium atom can be helpful in density functional theory and to study the optical properties of two-electron quantum dot. [2][3][4][5][6][7] A few structures in various environments are studied using approximate potentials such as power series potentials and screened coulomb Debye potential.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Spectra of electron pair under harmonic and Debye potential

Munjal

Prasad

2017

Contributions to Plasma Physics

View full text Add to dashboard Cite

Two electron systems confined by harmonic potential is known as harmonium. Such a system has been studied for many reasons in the literature. In this work we study harmonium under Debye potential. We use higher order finite difference method for the solution of Schrodinger equation. Complete energy spectrum of harmonium and harmonium under Debye potential is studied. Debye screening length shows considerable effect on the energy levels and the radial matrix elements. The results are analysed in the light of existing results and the comparison with available results shows remarkable agreement. KEYWORDSconfined harmonium, Debye potential, radial matrix element INTRODUCTIONThe study of confined atoms was initiated by Michels et al. [1] in 1937 in order to study the effect of high pressure on atomic hydrogen. Since then much of the work has been devoted to study confined atoms. Confined quantum systems have attracted many studies owing to their importance in the physics of quantum heterostructures, where, off late, many new structures are being proposed. [2][3][4][5][6][7] A few structures in various environments are studied using approximate potentials such as power series potentials and screened coulomb Debye potential. [8] The confinement and atoms under confinement have been studied in various interdisciplinary studies. [9][10][11][12][13][14][15][16][17] The study of such systems has gained importance because of technological importance of atoms, molecules, and ions in cavity and excitons in semiconductor heterostructures. [18,19] In addition, it is also a very well-known fact that the chemical reactivity of confined systems shows drastic change with change of confinement, hence it has led to many applications. Even atoms with high atomic numbers have been studied in different confinements. Jiao et al. [20] studied spectral and structural data of He atom under screened coulomb potential. Ghoshal and Ho [21] studied the ground state of two-electron system in generalized screened potential. Jiang et al. [22] studied this system under Lorentzian astrophysical plasma. Two interacting electrons with or without harmonic potential form a system that attracts a lot of interest. Two interacting electron system is a model system which is used to explore the physical aspects of many phenomena involving several electron systems. Two electrons confined in an infinite spherical well has been well studied theoretically. [23][24][25][26][27][28] Study of harmonium atom can be helpful in density functional theory and to study the optical properties of two-electron quantum dot. Even harmonium atom with more than two electrons [29][30][31][32] is also well studied in the literature due to its usefulness in solid state physics and quantum chemistry. Here, we study in detail the properties of harmonium in Debye environment. We solve this problem using eighth order finite difference method to describe the relative motion of the system. The effectiveness of our method is shown by comparing our results with those of available data for ...

show abstract

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Spectra of electron pair under harmonic and Debye potential

Munjal

Prasad

2017

Contributions to Plasma Physics

View full text Add to dashboard Cite

show abstract

“…To solve equation no. (8) we use finite difference method [14]- [16]. The response of such system to external field depends on the interaction matrix elements < ψ|cosθ|ψ ′ >, hence we also evaluated, values of…”

Section: Theoretical Methodsmentioning

confidence: 99%

Response of perturbed spherium to external fields

Silotia,

Vidhani,

Prasad

2015

Preprint

Self Cite

View full text Add to dashboard Cite

We study the spectra and response of Hooke's law spherium (two electrons moving on a surface of a sphere and interacting via harmonic potential to external static and laser fields. The spectrum of the Hooke's law spherium is analysed in the light of varying coupling strength. In addition, the < cos n θ >, n = 1, 2 for different contributions of 'static' and 'laser' fields is studied and analysed.

show abstract

“…However, once the confining design of the deformed QR is analytically described or somehow reproduced from experimental data, the mathematical task of solving the effective mass differential equations in 3D remains. Then, numerical schemes such as finite difference [16] and finite elements [17] are tools of choice.…”

Section: Introductionmentioning

confidence: 99%

Elliptical Quantum Rings with Variable Heights and under Spin–Orbit Interactions

Mora-Ramos,

Vinasco,

Radu

et al. 2023

Condensed Matter

View full text Add to dashboard Cite

We investigate the electronic properties of a semiconductor quantum ring with an elliptical shape and non-uniform height, allowing for distributed quantum-dot-like bulges along its perimeter. The adiabatic approximation and the finite element method are combined to calculate the allowed electron states in the structure under the effective mass approximation, considering the contributions from Rashba and Dresselahaus spin–orbit interactions and the Zeeman effect in the presence of an applied magnetic field. We discuss the features of the calculated spectra for two different ring geometries: a symmetric one with four dot-like bulges, and an asymmetric one with three hilled protuberances. The information about those states allows us to evaluate the linear optical absorption response associated with interlevel transitions between the ground and lowest excited states. This phenomenon takes place at resonant energies of only a few milielectronvolts. It is observed that spin–orbit interactions tend to quench this response under zero-field conditions in the case of symmetric confinement.

show abstract

Two-electron quantum ring in short pulses

Cited by 3 publications

References 55 publications

Spectra of electron pair under harmonic and Debye potential

Spectra of electron pair under harmonic and Debye potential

Response of perturbed spherium to external fields

Elliptical Quantum Rings with Variable Heights and under Spin–Orbit Interactions

Contact Info

Product

Resources

About