Spin orbit effect in a quantum dot confined in a Kratzer potential

Nautiyal, Vijit V.; Munjal, Deepti; Silotia, Poonam

doi:10.1016/j.jmmm.2020.167688

Cited by 11 publications

(6 citation statements)

References 50 publications

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“…The Hamiltonian RSOI and Hamiltonian DSOI are denoted by and respectively. The expressions for and are given by 15 , 53 Here is the quantum flux. and are the Rashba and Dresselhaus coupling constants respectively.…”

Section: Methodsmentioning

confidence: 99%

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Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Prasad,

Arora,

Varsha

2023

Sci Rep

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We present the study of the SiGe quantum ring (QR) modeled by an anharmonic axially symmetric potential with a centrifugal core in the effective mass approximation. We show how the femtosecond laser pulses (FLPs) can be used efficiently for controlling the induced current and magnetic field. We have compared the strength of induced currents and magnetic fields with and without pulsed laser which shows a substantial change. The spin-orbit interaction (SOI) and Zeeman energy show a massive impact on the generation and enhancement of these induced current and magnetic fields. These induced currents and magnetic fields have many applications in interdisciplinary areas. We have shown that the SOI presence with the FLP fields while competing with the confinement strength lowers the strength of the induced current and field.

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Section: Methodsmentioning

confidence: 99%

“…The spin-orbit interaction (SOI) splits the energy levels of the nanostructure in spin-up and spin-down states 15 . The interaction of orbital angular momentum and spin magnetic moment causes this splitting.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Prasad,

Arora,

Varsha

2023

Sci Rep

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“…The Morse-like potential was described for the first time in the article [13] to represent the movements of the nucleus in a diatomic molecule. Additionally, Nautiyal et al [14] used the Kratzer potential in quantum dots with the inclusion of the spin-orbit effect, whose functional form tries to describe intermolecular vibrations.…”

Section: Introductionmentioning

confidence: 99%

Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects

et al. 2023

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Within the framework of effective mass theory, we investigate the effects of spin–orbit interaction (SOI) and Zeeman splitting on the electronic properties of an electron confined in GaAs single quantum rings. Energies and envelope wavefunctions in the system are determined by solving the Schrödinger equation via the finite element method. First, we consider an inversely quadratic model potential to describe electron confining profiles in a single quantum ring. The study also analyzes the influence of applied electric and magnetic fields. Solutions for eigenstates are then used to evaluate the linear inter-state light absorption coefficient through the corresponding resonant transition energies and electric dipole matrix moment elements, assuming circular polarization for the incident radiation. Results show that both SOI effects and Zeeman splitting reduce the absorption intensity for the considered transitions compared to the case when these interactions are absent. In addition, the magnitude and position of the resonant peaks have non-monotonic behavior with external magnetic fields. Secondly, we investigate the electronic and optical properties of the electron confined in the quantum ring with a topological defect in the structure; the results show that the crossings in the energy curves as a function of the magnetic field are eliminated, and, therefore, an improvement in transition energies occurs. In addition, the dipole matrix moments present a non-oscillatory behavior compared to the case when a topological defect is not considered.

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“…Another way of modeling QDs with non-trivial geometries is the use of different confinement potentials, like the Kratzer potential [38][39][40][41][42] , Morse potential 43,44 . Another potential model is the Poeschel Teller potential.…”

Section: Introductionmentioning

confidence: 99%

The contribution of edge number on the optical properties in ZnO pyramidal quantum dots

Mantashyan

2023

Quantum Optics and Photon Counting 2023

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Considerable advances in the growth process of quantum dots with non-trivial geometries have been obtained. These advances lead to countless applications in quantum optics, quantum information, and biophysics. However, the theoretical investigation of these objects is complex and analytically impossible in most cases. The investigation of pyramidal or conical quantum dots with a comparable height-to-base ratio is one of those problems. That is why the numerical finite element method in the framework of the envelope function approximation has been used to obtain the eigenvalues and eigenfunctions for ZnO pyramidal and conical quantum dots. The mesh domains required for the finite element method calculation were pyramidal domains with bases ranging from an equilateral triangle to an equilateral decagon. Cones were used for the approximation of the mesh objects for pyramidal quantum dots with a larger number of edges. Different head radius to height ratios (½, 1, 2, 3, 4) were considered. The optical transition energies were shown to decrease with the increase in the number of faces. The optical transition strengths were shown to exhibit the opposite behavior. The interband absorption curves generally exhibit a redshift with the increase in the number of edges.

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Spin orbit effect in a quantum dot confined in a Kratzer potential

Cited by 11 publications

References 50 publications

Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Enhancement of persistent currents and magnetic fields in a two dimensional quantum ring

Spin–Orbit and Zeeman Effects on the Electronic Properties of Single Quantum Rings: Applied Magnetic Field and Topological Defects

The contribution of edge number on the optical properties in ZnO pyramidal quantum dots

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