A finite-difference technique for computation of electron states in core–shell quantum wires of different configurations

Deyasi, Arpan; Bhattacharyya, Suvanjan; Das, N. R.

doi:10.1088/0031-8949/89/6/065804

Cited by 16 publications

(6 citation statements)

References 38 publications

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“…The magnetic field B is taken along the growth z-direction. Equation (2) can be solved numerically by using a self-consistent method based on a very sensitive and versatile technique, finite-difference technique [28], to yield the allowed values of energy eigenvalues and eigenstates. The motivation behind using this computational technique is that it is fast to execute and light on memory and is more efficient for the evaluation of eigenstates of complex nanostructures with specific geometries.…”

Section: Outlook On the Theoretical Model 21 Energy Eigenvalues Andmentioning

confidence: 99%

Study of non-linear optical properties of center and edge delta-doped multiple quantum wells

Gambhir

Prasad

2018

Rev. Mex. Fís.

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In the present paper, the linear and non-linear optical properties of GaAs/AlGaAs multiple quantum well with on-center and on-edge delta doping are studied within the effective mass approximation. The delta potential is analytically modeled within each quantum well potential to obtain the energy levels and the corresponding wave functions using the robust finite difference method. The linear and non-linear optical absorption coefficients and changes in the refractive index are studied in the presence of a static magnetic and a periodic laser field using the density matrix approach. The obtained results show that the position of resonances and the amplitude of the optical absorption coefficients and the refractive index changes can be modified by varying the magnetic field and strength and position of doping potential. Lastly, an increase of the optical intensity appreciably changes the total absorption coefficient, as well as the total refractive index changes. Obtained results are important for the design of various electronic components such as high-power FETs and infrared photonic devices based on the intersubband transition of electrons in δ-doped multiple quantum wells.

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Section: Outlook On the Theoretical Model 21 Energy Eigenvalues Andmentioning

confidence: 99%

Study of non-linear optical properties of center and edge delta-doped multiple quantum wells

Gambhir

Prasad

2018

Rev. Mex. Fís.

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“…e authors of [30][31][32][33] obtained analytical solutions of the Schrödinger equation for cylindrical quantum wires with a finite potential and a parabolic dispersion law. e solution of the Schrödinger equation is obtained by the finite difference method (shooting method) for rectangular [34] and cylindrical [35,36] quantum wires.…”

Section: Introductionmentioning

confidence: 99%

Energy Levels in Nanowires and Nanorods with a Finite Potential Well

Gulyamov

Davlatov

et al. 2020

Advances in Condensed Matter Physics

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The energy of electrons and holes in cylindrical quantum wires with a finite potential well was calculated by two methods. An analytical expression is approximately determined that allows one to calculate the energy of electrons and holes at the first discrete level in a cylindrical quantum wire. The electron energy was calculated by two methods for cylindrical layers of different radius. In the calculations, the nonparabolicity of the electron energy spectrum is taken into account. The dependence of the effective masses of electrons and holes on the radius of a quantum wires is determined. An analysis is made of the dependence of the energy of electrons and holes on the internal and external radii, and it is determined that the energy of electrons and holes in cylindrical layers with a constant thickness weakly depends on the internal radius. The results were obtained for the InP/InAs heterostructures.

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“…Calculation of these eigenstates thus becomes very essential to study the electronic and optoelectronic behavior of the nanodevices [50,51]. For determining eigenstates, BenDaniel-Duke boundary condition is incorporated in order to consider the efect of efective mass mismatch at diferent hetero-interfaces, as well as to consider the conduction band discontinuity, which leads to the quantum well potential height.…”

Section: Introductionmentioning

confidence: 99%

Electronic Band Structure of Quantum Cascade Laser

Deyasi¹

2017

Quantum Cascade Lasers

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Multiple quantum well structure is the subject of theoretical and experimental research over the last two decades due to the possibility of making novel electronic and optoelectronic devices. The phenomenon of resonant tunneling makes it a prime candidate for all tunneling-based quantum devices with one-dimensional coninement. THz laser design using multilayered low-dimensional semiconductor structure is one such example, where miniband formation and its energy diference with lowest quantum state play crucial factor in governing device performance. Quantum cascade laser (QCL) is one of such candidate, which speaks in favor of research using multiple-quantum-well (MQW) structure. In the proposed chapter, transmission coeicient of multiple quantum-well structure is numerically computed using propagation matrix technique, and its density of states is calculated in the presence and absence of electric ield applied along the direction of quantum coninement. Absorption coeicient is also calculated for its possible application as optical emiter/detector. Based on the electronic and photonic properties investigated, electronic band structure of the quantum cascade laser (formed using the MQW structure) is computed. Formation of miniband is tailored with variation of external bias is shown.

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A finite-difference technique for computation of electron states in core–shell quantum wires of different configurations

Cited by 16 publications

References 38 publications

Study of non-linear optical properties of center and edge delta-doped multiple quantum wells

Study of non-linear optical properties of center and edge delta-doped multiple quantum wells

Energy Levels in Nanowires and Nanorods with a Finite Potential Well

Electronic Band Structure of Quantum Cascade Laser

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