Quantum disc plus inverse square potential. An analytical model for two‐dimensional quantum rings: Study of nonlinear optical properties

Duque, C.A.

doi:10.1002/andp.201200055

Cited by 41 publications

(21 citation statements)

References 24 publications

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“…() and, independently, by Duque et al. (). In this latter report, we proposed the use of such an approach to model the carrier states in a QR under an applied static magnetic field, and calculated the linear and nonlinear optical absorption and the relative change in the refractive index.…”

Section: Introductionmentioning

confidence: 85%

Optical absorption and refractive index changes in a semiconductor quantum ring: Electric field and donor impurity effects

Acosta

Morales

Duque

2015

Phys. Status Solidi B

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The electron states in a two‐dimensional quantum dot ring are calculated in the presence of a donor impurity atom under the effective mass and parabolic band approximations. The effect of an externally applied electric field is also taken into account. The wavefunctions are obtained via the diagonalization of the problem Hamiltonian using a 2D expansion. The impurity‐related optical response is analyzed via the optical absorption and relative refractive index coefficients.

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Section: Introductionmentioning

confidence: 85%

Optical absorption and refractive index changes in a semiconductor quantum ring: Electric field and donor impurity effects

Acosta

Morales

Duque

2015

Phys. Status Solidi B

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“…[3]. The e ective mass and parabolic band approx- The zero electric eld case shows these states labeled by two quantum numbers.…”

Section: A Brief Outlook On the Theoretical Modelmentioning

confidence: 99%

“…Recent modeling of quantum discs plus parabolic and inverse square potentials has led to a plausible analytical description that can be used to obtain the spectrum of electron states in two-dimensional quantum rings (QRs) under the in uence of externally applied magnetic elds [2,3]. In this work we are going to use the advantages of this model approach to study the NOR and SHG in 2D QRs in the presence of an applied static electric eld.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Optical Rectification and Second Harmonic Generation in 2D Quantum Rings under Electric Field and Magnetic Fields

Morales

Duque

2014

Acta Phys. Pol. A

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By using the e ective mass and parabolic band approximations, the nonlinear optical recti cation and the second harmonic generation are calculated in a two-dimensional quantum ring under the simultaneous e ects of perpendicularly applied magnetic eld and in-plane applied electric eld. The geometry of the ring is modeled via the combined in uences of a parabolic and inverse square con ning potentials. The exact solutions for the two-dimensional motion of the conduction band electrons are used as the basis for a perturbation-theory treatment of the static electric eld e ect. The variation of one of the di erent potential energy parameters, for a xed con guration of the remaining ones, leads to either blueshifts or redshifts of the resonant peaks as well as to distinct rates of change for their amplitudes.

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“…Quantum wires have been recognized as important materials for potential application in electronic and optoelectronic device technology [1,2]. It is noteworthy that quantum wires can be treated using electronic-structure simulation methods and will be among the most important functional blocks for future nanoelectronic devices; For example, quantum wires can be used for transistors.…”

Section: Introductionmentioning

confidence: 99%

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

et al. 2016

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In this study, we investigate the effect of the cross-sectional shape on the energy gap renormalization and diamagnetic susceptibility in various quantum wires. To this end, we consider quantum wires with different cross-sectional shapes such as circular, square, hexagonal, and triangular. First, we employ the finite-element method and Arnoldi algorithm to solve the Schrödinger equation. Then, we calculate the energy levels, wavefunctions, binding energy, energy gap renormalization, and diamagnetic susceptibility. Our numerical results show that the binding energy decreases when the cross-sectional area is increased for all the quantum wires. Moreover, it is inferred that the cross-sectional shape is not important for large crosssectional area when calculating the binding energy. Indeed, the main parameter is the cross-sectional area rather than the length of a side. The energy gap renormalization decreases with increasing cross-sectional area, regardless of the impurity concentration. We observe that the highest and lowest energy gap renormalization correspond to triangular and circular quantum wires, respectively. The absolute value of the diamagnetic susceptibility increases with increasing crosssectional area for all the quantum wires investigated.

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Quantum disc plus inverse square potential. An analytical model for two‐dimensional quantum rings: Study of nonlinear optical properties

Cited by 41 publications

References 24 publications

Optical absorption and refractive index changes in a semiconductor quantum ring: Electric field and donor impurity effects

Optical absorption and refractive index changes in a semiconductor quantum ring: Electric field and donor impurity effects

Nonlinear Optical Rectification and Second Harmonic Generation in 2D Quantum Rings under Electric Field and Magnetic Fields

Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape

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