Optical properties of a GaAs quantum well with new type of hyperbolic confinement potential: Effect of structure parameters and intense laser field

Durmuslar, Aysevil Salman; Billur, Canan Alper; Turkoglu, A.; Ungan, F.

doi:10.1016/j.optcom.2021.127266

Cited by 13 publications

(5 citation statements)

References 44 publications

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“…Among the well-known DWP models are the symmetric-hyperbolic DWP including the Razavy bistable potential (RBP) which successfully described molecular torsion oscillations with 𝑛 and 2𝑛-fold resistance [11], the Konwent potential which successfully modeled nucleons in the nucleus [12], and the double sinh Gordon (DSHG) potential which was applied to sink and anti-sink calculations in thermodynamics [13]. Nowadays, hyperbolic DWPs are used to investigate the electrical and optical properties in semi conductor by investigating the role of structure parameters [14][15][16], applied external fields [17][18][19][20] and applied magnetic fields [21]. Despite having many possible applications, the solutions of symmetric-hyperbolic DWP are not complete, where quasi-exact solvable (QES) of the eigen-energies and eigenfunctions have been obtained for some limited lowest states only [11][12][13]22].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Energy Separation in Tunelling States in Symmetric-Hyperbolicus Double-Well Potential Problem using Filter Method

Abdurrouf,

Saroja,

Nurhuda

2024

Trends Sci

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Double well potential (DWP) plays an important role in quantum physics but its analytical exact solutions are incomplete, except for some limited quasi-exact solvable (QES) and therefore numerical solutions are still required. This paper is aimed to obtain numerical solution of the recently proposed symnetric-hyperbolicus DWP and by using our newly developed filter method. The filter method is able to produce eigen-energies and eigenfunctions those are in accordance with the exact analytical results. Next, we obtain the dependence of the ground state energy and the energy separation between the 2 lowest states on the DWP parameter k. For large k, the 2 lowest energy levels are below the potential barrier so the eigenfunctions penetrate the barrier, so the 2 lowest energy levels can be considered as the result of a single energy split. In this case, we observe that the energy separation is an exponential function k, as opposed to a linear function for smaller k in the non tunelling region. The exponential trend of the numerical results is in good agreement with the theoretical approach and allows one to estimate the 2 lowest energies for a given k. HIGHLIGHTS For small , the two lowest energy levels lie above the barrier potential, where both ground state and the energy separation is a linier function of For large , the two lowest energy levels lie below the barrier potential so that the eigenfunction penetrates the barrier. As a result, the two lowest energy levels can be thought of as splitting energy states. In this case, we observe that the energy separation is an exponential function . Since also depends on , it is possible to estimate the two lowest energy levels The exponential trend of the numerical results for large agrees well with the theoretical approach, shown by the linear relationship between and the classical actions in the classical forbidden regions, GRAPHICAL ABSTRACT

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Section: Introductionmentioning

confidence: 99%

Estimation of Energy Separation in Tunelling States in Symmetric-Hyperbolicus Double-Well Potential Problem using Filter Method

Abdurrouf,

Saroja,

Nurhuda

2024

Trends Sci

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“…To our knowledge, the different kinds of hyperbolic potentials have important applications in physics and chemistry [5][6][7][8][9][10][11][12][13][14][15][16][17]. On the other hand, it is found that the dynamical quantum systems are also related with the hyperbolic function potentials when studying the complex Ginzburg-Landau equation with Kerr law nonlinearity, the conformable Schrödinger-KdV equation and hyperbolic local (4 + 1)-dimensional BLMP model [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of the Schrödinger equation for another class of hyperbolic potential wells

et al. 2023

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In this work a new scheme is proposed to study the exact solutions of another class of hyperbolic potentials $U_p$. We first obtain two linearly dependent eigenfunctions corresponding to the same even-parity state or odd-parity state by taking different variable substitutions and function transformations and then find that their solutions can be expressed analytically as the confluent Heun functions (CHFs). The Wronskian determinant which can be constructed by two linearly dependent eigenfunctions is used to get the corresponding energy spectrum equations with respect to even- and odd-parity states. According to energy spectrum equation, we can first study the intersection distribution between $F(\varepsilon)$ which is defined by the Wronskian determinant and energy levels $\varepsilon$, and then determine the total number of bound states as well as the exact energy levels. Substitution of the obtained energy levels into the eigenfunction allows us to obtain the normalized eigenfunction, which can be illustrated easily in graphics. Finally, we notice that only the potential well $U_2$ exists a polynomial solution for some special potential well depths $\emph{u}$.

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“…The electric field, magnetic field, temperature, pressure, and laser field have been applied to the GaAs-based quantum wells. In these studies, optical and electronic properties have been studied by many researchers [8][9][10][11][12]. In the study conducted by Öztürk, linear optical properties of GaAs/AlGaAs OWs were calculated depending on the applied electric field, and changes were observed in the potential profile shape, energy levels and dipole moments.…”

Section: Introductionmentioning

confidence: 99%

A Study on The Optical Properties of Long-Infrared Intraband Transitions of Quadruple Gaas/Alxga1-Xas Quantum Well Under Applied Electric Field

Altun

2023

Cumhuriyet Science Journal

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Semiconductor-emitting/absorbing infrared devices are in the common interest of the scientific and industrial community due to their broad application in these fields. GaAs/AlGaAs based devices are one of the most studied semiconductor heterostructures. In this study, I have aimed to design GaAs/AlGaAs quantum well (QW) semiconductor heterostructures to emit/absorb in the long infrared region and studied the optical properties. To do that, I have designed a quadruple QW, which is composed of GaAs/Al0.44Ga0.56As QW and quantum barriers (QB). I have solved the time-independent Schrödinger equation using the finite element method-based matlab code under effective mass approximation. The wave functions and corresponding energy eigenvalues are obtained for varied electric field (EF) intensities. I have shown that our design can operate up to 80 kV/cm, which is the limit for first bounded energy eigenstates. It is observed that E_32 transition provides long-infrared emission/absorption corresponding to the 0.12-0.14 eV transition energy and it is constant with increased EF intensity. In addition, it is seen that the overlap of the wave functions is increasing with EF intensity which enhances radiative transition in the structure. I have calculated the linear absorption coefficient and refractive index change. I have observed that the absorption coefficient of E_32 transition is increasing with EF intensity while E_31 is decreasing and E_21 is constant. As a last, I have shown that EF intensity has a minor effect on refractive index change.

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Optical properties of a GaAs quantum well with new type of hyperbolic confinement potential: Effect of structure parameters and intense laser field

Cited by 13 publications

References 44 publications

Estimation of Energy Separation in Tunelling States in Symmetric-Hyperbolicus Double-Well Potential Problem using Filter Method

Estimation of Energy Separation in Tunelling States in Symmetric-Hyperbolicus Double-Well Potential Problem using Filter Method

Exact solutions of the Schrödinger equation for another class of hyperbolic potential wells

A Study on The Optical Properties of Long-Infrared Intraband Transitions of Quadruple Gaas/Alxga1-Xas Quantum Well Under Applied Electric Field

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