Exciton binding energy in a pyramidal quantum dot

Anitha, A.; Arulmozhi, M.

doi:10.1007/s12043-018-1548-7

Cited by 5 publications

(2 citation statements)

References 19 publications

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“…The screened Coulomb interaction plays a significant role in this study as the dielectric constant of the medium introduces the screening of the above-said force. Many researchers have solved Schrödinger equation of system using variational [40,41], the Nikiforov-Uvarov [42] or the asymptotic iteration method [43]. Due to the trivial behavior of the system, we have solved the Schrödinger equation using the finite difference method (FDM) along with perturbation theory [39].…”

Section: Introductionmentioning

confidence: 99%

Hydrogenic impurity effect on optical properties of Wannier-Mott exciton confined in a spherical quantum dot with Kratzer potential under magnetic field

Varsha

Giri²,

Arora³

et al. 2022

Rev. Mex. Fís.

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Confinement effects of Kratzer potential on a Wannier-Mott Exciton(W-M) are studied in a spherical quantum dot(QD) in the presence of a static magnetic field. Time independent Schr$\ddot{o}$dinger equation is solved numerically to obtain the energy states. The excitonic transitions so realized have been used to explore the non-linear optical properties that are important for optical characterization of materials such as the optical absorption coefficients (ACs) and refractive index changes (RICs). Impact of magnetic field, strength of the laser field and transition parameters using familiar compact density matrix approach are also analyzed. It has been observed that optical properties get radically modified under confinement effects. Also, the shift of degeneracy of different excitonic energy levels with the magnetic field in confinement potential has been reported for the first time for W-M exciton in the spherical quantum dot, the study that may have crucial input to the literature and myriad of practical implications.

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Section: Introductionmentioning

confidence: 99%

Hydrogenic impurity effect on optical properties of Wannier-Mott exciton confined in a spherical quantum dot with Kratzer potential under magnetic field

Varsha

Giri²,

Arora³

et al. 2022

Rev. Mex. Fís.

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“…Based on the effective mass approximation, Sari et al [37] studied the effects of non-resonant intense laser field on the hydrogenic impurity binding energy confined in a cylindrical QD. Using variational method, Anitha and Arulmozhi [38] investigated the influence of spatially dependent effective mass, conduction band non-parabolicity and dielectric screening function on exciton binding energy in a pyramid-shaped QD. Based on the finite-element method and the Arnoldi algorithm, Avazzadeh et al [39] studied the diamagnetic susceptibility of an off-center hydrogenic donor impurity confined in pyramid and cone-like quantum dots.…”

Section: Introductionmentioning

confidence: 99%

Finite difference time domain simulation of arbitrary shapes quantum dots

et al. 2019

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Utilizing the finite difference time domain (FDTD) method, energy eigenvalues of spherical, cylindrical, pyramidal and cone-like quantum dots are calculated. To do this, by the imaginary time transformation, we transform the schrödinger equation into a diffusion equation. Then, the FDTD algorithm is hired to solve this equation. We calculate four lowest energy eigenvalues of these QDs and then compared the simulation results with analytical ones. Our results clearly show that simulation results are in very good agreement with analytical results. Therefore, we can use the FDTD method to find accurate results for the Schrödinger equation.

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