arxiv: 2605.12371 · v1 · submitted 2026-05-12 · ❄️ cond-mat.mes-hall

Recognition: no theorem link

Optical Response of a screw dislocated GaAs Quantum Wire: Temperature and Pressure Effects

Vinod Kumar , Shweta Kumari , Surender Pratap

Authors on Pith no claims yet

Pith reviewed 2026-05-13 03:09 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall

keywords screw dislocationGaAs quantum wireoptical absorptionrefractive index changetemperature effectshydrostatic pressuremagnetic fieldWhittaker functions

0 comments

The pith

Screw dislocation in a GaAs quantum wire breaks symmetry between m and -m states, redshifting the m=0 to +1 optical transition while blueshifting the m=0 to -1 transition.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper models a parabolic GaAs cylindrical quantum wire containing a screw dislocation under temperature, hydrostatic pressure, and axial magnetic field. A torsion-modified metric is introduced to capture the dislocation, which couples the axial wavevector kz to angular momentum and alters the centrifugal term, breaking the symmetry between positive and negative m states. Exact eigenstates are obtained via Whittaker functions once the effective mass and dielectric permittivity are allowed to vary with temperature and pressure. Linear and third-order nonlinear absorption coefficients plus refractive index changes are then computed for the dipole-allowed transitions from m=0 to +1 and from m=0 to -1. A reader would care because the resulting asymmetric optical response shows how a single structural defect can be used to shift and reshape resonance peaks in opposite directions, offering a route to tune nanowire optical behavior without changing the overall wire radius or material composition.

Core claim

Using a torsion-modified metric together with pressure- and temperature-dependent effective mass and dielectric permittivity, the Schrödinger equation yields exact Whittaker-function solutions. The dislocation introduces a kz-dependent coupling that breaks the symmetry between the angular-momentum states m and -m and modifies the centrifugal term. For the m=0 to +1 transition, increasing the dislocation parameter produces a pronounced redshift and suppresses the resonance amplitude; for the m=0 to -1 transition the same increase produces a blueshift and enhances the peak. Temperature shifts both resonances to higher photon energies and increases their amplitudes, while hydrostatic pressure紅移

What carries the argument

Torsion-modified metric that introduces a kz-dependent coupling breaking m ↔ -m symmetry and modifying the effective centrifugal barrier, allowing exact Whittaker-function solutions for the pressure- and temperature-dependent Hamiltonian.

If this is right

Increasing the dislocation parameter redshifts and suppresses the m=0→+1 absorption peak while blueshifting and enhancing the m=0→-1 peak.
Raising temperature moves both resonances to higher photon energies and increases their amplitudes.
Hydrostatic pressure redshifts both transitions and lowers their peak intensities.
Axial magnetic field strengthens the overall optical response, blueshifting the +1 transition and producing the opposite shift for the -1 transition.
Refractive-index changes exhibit the same asymmetric dependence on the dislocation parameter as the absorption coefficients.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The opposite shifts could be exploited to create polarization-selective filters in nanowire optoelectronics.
Exact solvability with Whittaker functions suggests the same approach can be applied to other topological defects in cylindrical nanostructures.
Material-specific tuning ranges for optical response might be mapped by repeating the calculation for different semiconductor hosts.

Load-bearing premise

The torsion-modified metric accurately represents the geometry and potential created by the screw dislocation, and the chosen functional forms for effective mass and dielectric permittivity permit exact Whittaker-function solutions.

What would settle it

Absorption spectra measured on GaAs quantum wires with increasing controlled screw-dislocation density at fixed temperature and pressure, showing a clear redshift of the lower-energy resonance and a blueshift of the higher-energy resonance.

Figures

Figures reproduced from arXiv: 2605.12371 by Shweta Kumari, Surender Pratap, Vinod Kumar.

**Figure 2.** Figure 2: Total energy ET for states m = 0, +1, and −1 as a function of the screw dislocation parameter η at fixed cyclotron energy ℏωc = 2.5 meV. Solid lines: T = 10 K, P = 0; dashed lines: effect of temperature (T = 300 K); dash-dotted lines: effect of hydrostatic pressure (P = 20 kbar). the effective angular momentum m−ηkz , which in turn changes the centrifugal barrier and the Whittaker-function root σR. Conseq… view at source ↗

**Figure 3.** Figure 3: Transition energy ∆ET for the dipole-allowed transitions m = 0 → +1 (blue) and m = 0 → −1 (red) as a function of the screw-dislocation parameter η at different temperatures and hydrostatic pressures. Solid lines correspond to T = 10 K and P = 0 kbar, dashed lines to T = 300 K, and dash-dotted lines to P = 20 kbar [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

**Figure 4.** Figure 4: Transition energy ∆E for the m = 0 → +1 (blue) and m = 0 → −1 (red) transitions as a function of cyclotron energy ℏωc with (η = 4 Å, dotted) and without (η = 0 Å) screw dislocation at different temperatures and hydrostatic pressures (T = 10 K, P = 0 solid; T = 300 K dashed; dash-dotted: P = 20 kbar). gies for both transitions are identical. As ℏωc increases, a clear splitting develops between the two tran… view at source ↗

**Figure 6.** Figure 6: Total absorption coefficient as a function of photon energy ℏω for the m = 0 → +1 transition under different conditions: (a) screw dislocation parameter η, (b) incident intensity I, (c) temperature T and hydrostatic pressure P, and (d) cyclotron energy ℏωc [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗

**Figure 7.** Figure 7: Total absorption coefficient as a function of photon energy ℏω for the m = 0 → −1 transition under different conditions: (a) screw dislocation parameter η, (b) incident intensity I, (c) temperature T and hydrostatic pressure P, and (d) cyclotron energy ℏωc. (a) (b) (c) (d) [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗

**Figure 8.** Figure 8: Relative refractive index change as a function of photon energy [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗

**Figure 9.** Figure 9: Relative refractive index change as a function of photon energy [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗

read the original abstract

We investigate the influence of a screw dislocation, characterized by the dislocation parameter, on the optical response of a parabolic GaAs cylindrical quantum wire under the combined effects of temperature, hydrostatic pressure, and the axial magnetic field. Using a torsion-modified metric together with pressure- and temperature-dependent material properties, namely the effective mass and dielectric permittivity, we obtain exact solutions of the Schr\"odinger equation in terms of Whittaker functions. The screw dislocation introduces a \(k_z\)-dependent coupling that breaks the symmetry between the angular momentum states \(m\) and \(-m\) and modifies the centrifugal term in the effective potential. Based on the resulting eigenstates, we evaluate the linear and third-order nonlinear optical absorption coefficients, as well as the corresponding refractive index changes, for the dipole-allowed transitions \(m = 0 \to +1\) and \(m = 0 \to -1\). Our results show that increasing the dislocation parameter produces a pronounced redshift and suppresses the resonance amplitude for the \(m = 0 \to +1\) transition, whereas the \(m = 0 \to -1\) transition exhibits a blueshift accompanied by peak enhancement. We further find that increasing temperature shifts the resonances toward higher photon energies and enhances their amplitudes, while hydrostatic pressure causes a redshift and reduces the peak intensity for both transitions. In addition, the magnetic field strengthens the optical response and induces a blueshift for the \(m = 0 \to +1\) transition, whereas the opposite behavior is obtained for the \(m = 0 \to -1\) transition. We have also examined the behavior of the refractive index changes, which exhibit analogous asymmetric dependence on the dislocation parameter.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

The paper finds that a screw dislocation breaks m/-m symmetry in a GaAs quantum wire, producing opposite redshift/suppression versus blueshift/enhancement in the two optical transitions under combined T, P, and B fields.

read the letter

This paper calculates how a screw dislocation affects the linear and nonlinear optical absorption plus refractive index changes in a parabolic GaAs cylindrical quantum wire, with temperature, hydrostatic pressure, and axial magnetic field all present at once. The central new piece is the kz-dependent coupling from the torsion term in the metric, which splits the behavior of the m=0 to +1 and m=0 to -1 transitions so that one redshifts and weakens while the other blueshifts and strengthens as the dislocation parameter grows. They solve the Schrödinger equation exactly with Whittaker functions once the effective mass and dielectric constant take their usual pressure- and temperature-dependent forms, then compute the dipole matrix elements and the resulting spectra. The trends with each external parameter are laid out cleanly: temperature moves peaks to higher energy and increases amplitude, pressure does the reverse, and the magnetic field pushes the two transitions in opposite directions. That combination of geometry plus all three fields has not been worked out before in the cited literature, and the analytical route keeps the results transparent without extra fitting parameters beyond the dislocation strength itself. The model is self-contained and the qualitative asymmetry follows directly from the extra term in the effective potential. The main limitation is that the torsion-modified metric is taken as given; it is not checked against a full elastic strain calculation or a numerical diagonalization of a more microscopic dislocation Hamiltonian, so it is unclear how much the reported asymmetry depends on that specific choice. The functional forms for m*(T,P) and ε(T,P) are also selected to preserve exact solvability, which is convenient but could restrict how far the numbers apply to real GaAs. No convergence tests or error bars appear in the abstract, though the full text may supply them. This is aimed at theorists who model optical response in mesoscopic semiconductor structures with defects or external fields. A reader who already works with Whittaker solutions or similar confined systems will get usable trends and a clear example of symmetry breaking. I would send it to peer review because the calculation is explicit enough for referees to test the metric assumption and the parameter choices directly, even if revisions are needed on the physical justification.

Referee Report

3 major / 2 minor

Summary. The manuscript investigates the optical response (linear and third-order nonlinear absorption coefficients and refractive index changes) of a parabolic GaAs cylindrical quantum wire containing a screw dislocation, under combined temperature, hydrostatic pressure, and axial magnetic field. A torsion-modified metric is used to incorporate the dislocation parameter, which introduces a k_z-dependent coupling that breaks m ↔ -m symmetry in the effective potential. With pressure- and temperature-dependent effective mass and dielectric permittivity chosen to allow exact solutions, the Schrödinger equation is solved in terms of Whittaker functions. Eigenstates are then used to compute dipole-allowed transitions m=0 → +1 and m=0 → -1, yielding reported trends: increasing dislocation parameter produces redshift and amplitude suppression for +1 but blueshift and enhancement for -1; temperature blueshifts and strengthens resonances while pressure redshifts and weakens them; magnetic field effects are opposite for the two transitions.

Significance. If the torsion-modified metric and the chosen m*(T,P), ε(T,P) forms accurately represent physical screw dislocations in GaAs wires, the exactly solvable model provides a clean platform for exploring geometric and topological effects on optical spectra. The explicit asymmetry between +m and -m channels and the parameter trends could inform device modeling. The use of Whittaker functions for closed-form eigenenergies is a technical strength that enables precise analytic expressions for the optical coefficients.

major comments (3)

[theoretical model and Schrödinger equation solution] The central claim of asymmetric optical response (redshift/suppression for m=0→+1 versus blueshift/enhancement for m=0→-1) rests on the torsion-modified metric producing a specific k_z-dependent term in the effective potential. However, no derivation of this metric from the Burgers vector geometry, no explicit expression for the resulting effective potential (including the modified centrifugal term), and no comparison to a conventional elastic-strain Hamiltonian or numerical diagonalization are provided. Without these, it is impossible to assess whether the reported asymmetry is physical or an artifact of the ansatz (theoretical model section and Schrödinger-equation solution).
[material parameters subsection] The functional forms adopted for m*(T,P) and ε(T,P) are stated to permit exact Whittaker solutions, yet the manuscript supplies neither the explicit expressions used nor any error estimate or sensitivity analysis showing how deviations from these forms would alter the T/P trends. This choice is load-bearing for all reported temperature and pressure dependencies (material parameters subsection).
[results section on optical coefficients] No convergence checks, basis-size tests, or comparison of the Whittaker solutions against direct numerical integration of the radial equation are reported. Given that the optical coefficients depend on the precise eigenenergies and dipole matrix elements, the absence of such verification undermines in the quantitative trends (results section on optical coefficients).

minor comments (2)

[introduction] The abstract and introduction cite the dislocation parameter but do not define its relation to the Burgers vector magnitude or the wire radius; a brief explicit definition would improve clarity.
[figure captions] Figure captions for the absorption and refractive-index plots should include the specific values of T, P, B, and dislocation parameter used in each panel to allow direct reproduction.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the thorough review and insightful comments on our manuscript. We address each of the major comments below and have made revisions to the manuscript to incorporate the suggested improvements.

read point-by-point responses

Referee: The central claim of asymmetric optical response (redshift/suppression for m=0→+1 versus blueshift/enhancement for m=0→-1) rests on the torsion-modified metric producing a specific k_z-dependent term in the effective potential. However, no derivation of this metric from the Burgers vector geometry, no explicit expression for the resulting effective potential (including the modified centrifugal term), and no comparison to a conventional elastic-strain Hamiltonian or numerical diagonalization are provided. Without these, it is impossible to assess whether the reported asymmetry is physical or an artifact of the ansatz (theoretical model section and Schrödinger-equation solution).

Authors: We agree that providing a derivation of the torsion-modified metric would strengthen the manuscript. In the revised version, we will add a subsection deriving the metric from the screw dislocation geometry characterized by the Burgers vector. We will explicitly present the effective potential, highlighting the k_z-dependent coupling and the modification to the centrifugal term. Regarding comparison to conventional models, the torsion metric is a standard approach in the literature for topological effects in dislocated quantum structures, and we will include a brief discussion noting its equivalence to certain strain-induced terms in the limit of small dislocation parameters. Since our solutions are analytic, we will also add a comparison showing that for zero dislocation parameter, our results reduce to the standard parabolic wire case, and provide a note on agreement with numerical solutions of the radial equation for selected cases. revision: yes
Referee: The functional forms adopted for m*(T,P) and ε(T,P) are stated to permit exact Whittaker solutions, yet the manuscript supplies neither the explicit expressions used nor any error estimate or sensitivity analysis showing how deviations from these forms would alter the T/P trends. This choice is load-bearing for all reported temperature and pressure dependencies (material parameters subsection).

Authors: We acknowledge the need for explicit expressions. We will insert the explicit functional forms for m*(T,P) and ε(T,P) in the material parameters subsection. Furthermore, we will add a short paragraph discussing the sensitivity of the results to small variations in these parameters, confirming that the qualitative trends remain robust. revision: yes
Referee: No convergence checks, basis-size tests, or comparison of the Whittaker solutions against direct numerical integration of the radial equation are reported. Given that the optical coefficients depend on the precise eigenenergies and dipole matrix elements, the absence of such verification undermines in the quantitative trends (results section on optical coefficients).

Authors: As the eigenfunctions are obtained exactly via Whittaker functions, there are no convergence or basis-size issues associated with numerical diagonalization methods. To address the referee's concern and enhance confidence in the quantitative results, we will include in the revised manuscript a comparison between the analytic eigenenergies and those computed via numerical integration of the radial Schrödinger equation for representative values of the parameters. This will verify the accuracy of the energies and the resulting dipole matrix elements used in the optical coefficients. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper starts from the Schrödinger equation in a torsion-modified metric with the dislocation parameter as an external geometric input, adopts effective-mass and dielectric forms from prior literature to enable exact Whittaker-function solutions, and then computes the linear and nonlinear optical coefficients directly from the resulting eigenstates and dipole matrix elements for the m=0 to ±1 transitions. No equation or result is obtained by fitting to the target spectra, no output is renamed as a prediction of itself, and no load-bearing premise reduces to a self-citation whose content is the present claim. The reported redshift/blueshift asymmetry follows from the explicit k_z-dependent coupling term in the effective potential; all subsequent T, P, and B-field trends are likewise forward evaluations of the same closed-form expressions.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The model rests on standard single-particle quantum mechanics in cylindrical confinement plus two domain assumptions: the torsion metric for the dislocation and literature-based temperature/pressure scaling of effective mass and permittivity. No new particles or forces are postulated.

free parameters (1)

dislocation parameter
Scalar characterizing the strength of the screw dislocation; enters the metric and modifies the effective potential and kz coupling.

axioms (2)

domain assumption Torsion-modified metric correctly represents the geometry and boundary conditions of a screw dislocation in the cylindrical wire.
Invoked at the start to alter the Schrödinger equation and produce the kz-dependent term.
domain assumption Effective mass and dielectric permittivity follow established empirical or theoretical dependencies on temperature and hydrostatic pressure.
Used to make the Hamiltonian temperature- and pressure-dependent while preserving solvability.

pith-pipeline@v0.9.0 · 5614 in / 1612 out tokens · 156997 ms · 2026-05-13T03:09:42.103146+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

31 extracted references · 31 canonical work pages

[1]

Q. Hua, G. Shen, Low-dimensional nanostructures for monolithic 3d-integrated ﬂexible and stretchable electron- ics, Chemical Society Reviews 53 (3) (2024) 1316–1353

work page 2024
[2]

Kumar, S

V . Kumar, S. Pratap, B. Chakraborty, 2d biphenylene: exciting properties, synthesis & applications, Journal of Physics: Condensed Matter 37 (11) (2025) 113006

work page 2025
[3]

Kumar, S

S. Kumar, S. Pratap, V . Kumar, R. K. Mishra, J. S. Gwag, B. Chakraborty, Electronic, transport, magnetic, and op- tical properties of graphene nanoribbons and their optical sensing applications: A comprehensive review, Lumines- cence 38 (7) (2023) 909–953

work page 2023
[4]

J. C. Foster, S. V arlas, B. Couturaud, Z. Coe, R. K. OR- eilly, Getting into shape: reﬂections on a new generation of cylindrical nanostructures self-assembly using polymer building blocks, Journal of the American Chemical Soci- ety 141 (7) (2019) 2742–2753. 7

work page 2019
[5]

Hasanirokh, A

K. Hasanirokh, A. Asgari, S. Mohammadi, Fabrication of a light-emitting device based on the cds /zns spherical quantum dots, Journal of the European Optical Society- Rapid Publications 17 (1) (2021) 26

work page 2021
[6]

Zhang, K

G. Zhang, K. Tateno, H. Sanada, T. Tawara, H. Go- toh, H. Nakano, Synthesis of gaas nanowires with very small diameters and their optical properties with the ra- dial quantum-conﬁnement e ﬀect, Applied Physics Letters 95 (12) (2009)

work page 2009
[7]

Tshipa, L

M. Tshipa, L. K. Sharma, S. Pratap, Photoionization cross-section in a gaas spherical quantum shell: the e ﬀect of parabolic conﬁning electric potentials, The European Physical Journal B 94 (6) (2021) 129

work page 2021
[8]

Tshipa, Second and third harmonic generation in lin- ear, concave and convex conical gaas quantum dots, Su- perlattices and Microstructures 159 (2021) 107031

M. Tshipa, Second and third harmonic generation in lin- ear, concave and convex conical gaas quantum dots, Su- perlattices and Microstructures 159 (2021) 107031

work page 2021
[9]

Harrison, A

P . Harrison, A. V alavanis, Quantum wells, wires and dots: theoretical and computational physics of semiconductor nanostructures, John Wiley & Sons, 2016

work page 2016
[10]

M. R. Monnaatsheko, M. Tshipa, Z. G. Keolopile, Ef- fects of temperature and hydrostatic pressure on the op- tical absorption coeﬃcients of a gaas cylindrical quantum wire with intrinsic inverse parabolic potential in the pres- ence of a magnetic ﬁeld, Micro and Nanostructures (2025) 208532

work page 2025
[11]

Turker Tuzemen, H

A. Turker Tuzemen, H. Dakhlaoui, F. Ungan, E ﬀects of hydrostatic pressure and temperature on the nonlinear op- tical properties of gaas/gaalas zigzag quantum well, Philo- sophical Magazine 102 (23) (2022) 2428–2443

work page 2022
[12]

Arraoui, M

R. Arraoui, M. Jaouane, A. Ed-Dahmouny, K. El-Bakkari, A. Fakkahi, H. Azmi, H. El Ghazi, A. Sali, E ﬀects of hy- drostatic pressure, temperature, and magnetic ﬁeld on the binding energy and diamagnetic susceptibility of a four- quantum-dot nanosystem, Journal of Physics and Chem- istry of Solids 202 (2025) 112670

work page 2025
[13]

Ungan, M

F. Ungan, M. Mora-Ramos, C. Duque, E. Kasapoglu, H. Sari, I. Sökmen, Linear and nonlinear optical prop- erties in a double inverse parabolic quantum well under applied electric and magnetic ﬁelds, Superlattices and Mi- crostructures 66 (2014) 129–135

work page 2014
[14]

L. Lu, W. Xie, Z. Shu, Combined e ﬀects of hydrostatic pressure and temperature on nonlinear properties of an exciton in a spherical quantum dot under the applied elec- tric ﬁeld, Physica B: Condensed Matter 406 (19) (2011) 3735–3740

work page 2011
[15]

M. O. Katanaev, Geometric theory of defects, Physics- Uspekhi 48 (7) (2005) 675–701

work page 2005
[16]

M. K. Bahar, P . Ba¸ ser, Nonlinear optical speciﬁcations of the mathieu quantum dot with screw dislocation, The Eu- ropean Physical Journal Plus 138 (8) (2023) 724

work page 2023
[17]

Ahmed, H

F. Ahmed, H. Aounallah, P . Rudra, Rotational and inverse- square potential e ﬀects on harmonic oscillator conﬁned by ﬂux ﬁeld in a space–time with screw dislocation, In- ternational Journal of Modern Physics A 38 (24) (2023) 2350130

work page 2023
[18]

da Silva, K

W. da Silva, K. Bakke, Quantum aspects of a quantum particle in a cylindrical wire in the presence of a screw dislocation, The European Physical Journal Plus 134 (4) (2019) 131

work page 2019
[19]

K. Bakke, Discrete energy spectrum for a spin-1 /2 quan- tum particle under the inﬂuence of a constant force ﬁeld due to the presence of topological defects, Brazilian Jour- nal of Physics 41 (2) (2011) 167–170

work page 2011
[20]

Islam, S

M. Islam, S. Basu, Screw dislocation in a rashba spin- orbit coupled α-t 3 aharonov–bohm quantum ring, Scien- tiﬁc Reports 14 (1) (2024) 11232

work page 2024
[21]

Furtado, F

C. Furtado, F. Moraes, Landau levels in the presence of a screw dislocation, EPL (Europhysics Letters) 45 (3) (1999) 279–282

work page 1999
[22]

Rezaei, S

G. Rezaei, S. S. Kish, E ﬀects of external electric and magnetic ﬁelds, hydrostatic pressure and temperature on the binding energy of a hydrogenic impurity conﬁned in a two-dimensional quantum dot, Physica E: Low- dimensional Systems and Nanostructures 45 (2012) 56– 60

work page 2012
[23]

Hassanabadi, K

H. Hassanabadi, K. Guo, L. Lu, E. O. Silva, Spiral dis- location as a tunable geometric parameter for optical responses in quantum rings, Annals of Physics (2026) 170346

work page 2026
[24]

R. W. Boyd, A. L. Gaeta, E. Giese, Nonlinear optics, in: Springer handbook of atomic, molecular, and optical physics, Springer, 2008, pp. 1097–1110

work page 2008
[25]

M. Tshipa, Optical properties of gaas nanowires with an electric potential that varies inversely with the square of the radial distance, Advances in Condensed Matter Physics 2019 (1) (2019) 3478506

work page 2019
[26]

Arunachalam, A

N. Arunachalam, A. J. Peter, C. K. Y oo, Exciton optical absorption coe ﬃcients and refractive index changes in a strained inas /gaas quantum wire: The e ﬀect of the mag- netic ﬁeld, Journal of luminescence 132 (6) (2012) 1311– 1317

work page 2012
[27]

Kavitha, A

M. Kavitha, A. Naifar, A. J. Peter, V . Raja, Comparison of razavy and pöschl-teller conﬁned potentials on the opto- electronic properties in a znse /cdse/znse quantum well, Optical and Quantum Electronics 56 (9) (2024) 1451

work page 2024
[28]

M. ¸ Sahin, Photoionization cross section and intersub- level transitions in a one-and two-electron spherical quan- tum dot with a hydrogenic impurity, Physical Review BCondensed Matter and Materials Physics 77 (4) (2008) 045317. 8

work page 2008
[29]

Ahn, S.-l

D. Ahn, S.-l. Chuang, Calculation of linear and nonlinear intersubband optical absorptions in a quantum well model with an applied electric ﬁeld, IEEE Journal of Quantum Electronics 23 (12) (1987) 2196–2204

work page 1987
[30]

Olendski, T

O. Olendski, T. Barakat, Magnetic ﬁeld control of the in- traband optical absorption in two-dimensional quantum rings, Journal of Applied Physics 115 (8) (2014)

work page 2014
[31]

C. M. O. Pereira, E. O. Silva, Nonlinear optical behavior of conﬁned electrons under torsion and magnetic ﬁelds, Physica E: Low-dimensional Systems and Nanostructures (2026) 116497. 9

work page 2026