Signature of Miniband Nodes in Magneto-Optical Properties of One-Dimensional Superlattice of Planar Quantum Rings

Mughnetsyan, Vram; Mansoury, Maryam; Aziz-Aghchegala, Vigen; Kirakosyan, A.A.; Guðmundsson, Viðar

doi:10.2139/ssrn.4112846

Cited by 1 publication

(2 citation statements)

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“…More realistic potential models such as the Pöschl-Teller, Morse and Woods-Saxon interactions are now been used to provide insight into the dynamics of the confined electrons and excitons in quantum heterostructures [4,[6][7][8][9][10][11][12][13]. In recent times, the Woods-Saxon potential has been used successfully to describe nonlinear optical properties such as optical rectification, refractive index and harmonic generations in quantum nanostructures subjected to external fields [9,[14][15][16][17][18][19]. The electronic states and absorption coefficient of semiconductor superlattice and the energy spectrum of semiconductor quantum dot [7,14,15,[17][18][19][20] have also been studied using the WS interaction.…”

Section: Introductionmentioning

confidence: 99%

“…In recent times, the Woods-Saxon potential has been used successfully to describe nonlinear optical properties such as optical rectification, refractive index and harmonic generations in quantum nanostructures subjected to external fields [9,[14][15][16][17][18][19]. The electronic states and absorption coefficient of semiconductor superlattice and the energy spectrum of semiconductor quantum dot [7,14,15,[17][18][19][20] have also been studied using the WS interaction.…”

Section: Introductionmentioning

confidence: 99%

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Complex partition function of 1-dimensional Dirac particle confined in Woods-Saxon interaction

Ibrahim,

Oladimeji,

Koffa

et al. 2024

Phys. Scr.

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We present the bound state solutions of one-dimensional Schr"{o}dinger and Dirac equations for a particle confined in Woods-Saxon potential. In each case the wavefunctions and the energy eigenvalues have been obtained in terms of the Jacobi polynomials by using the Nikiforov-Uvarov method. The complex eigenenergy obtained from the Dirac equation is explicitly shown to contain the nonrelativistic energies plus complex relativistic correction terms. The quantum partition functions obtained using the relativistic and the nonrelativistic energieshave been used to generate important thermodynamic properties of the system in the high temperature limit. In particular, the complex partition function obtained in the relativistic regime is taken to indicate some important physical effects in the system.

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