Electronic structure of one electron confined in three-dimensional quantum dots

Haddad, Huda; Nammas, F.S.; Shorman, M. M. Al; Shukri, Abdullah Atef

doi:10.1016/j.physb.2017.09.102

Cited by 16 publications

(3 citation statements)

References 18 publications

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“…Therefore, one can find a plethora of studies concerned with thermodynamics of LDSN. [33][34][35][36][37][37][38][39][40][41][42][43][44][45] The Shannon entropy is a specific form of the entropy functional widely regarded as the cornerstone of the information-theory-based statistical thermodynamics. [46] The magnetocaloric effect (MCE) is a magneto-thermodynamic phenomenon that can be conceived as an in-built response of the magnetic materials as a result of change in the magnetic field (ΔB) and possesses a straightforward connection with the entropy change (ΔS).…”

Section: Introductionmentioning

confidence: 99%

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Harnessing the Shannon Entropy‐Based Magnetocaloric Effect in GaAs Quantum Dot under the Influence of Noise‐Anharmonicity Interplay

Bhakti,

Datta,

Ghosh

2024

Physica Status Solidi (b)

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In the present investigation, the Shannon entropy‐based magnetocaloric effect (MCE) of GaAs quantum dot (QD) is explored under the simultaneous influence of anharmonicity and Gaussian white noise (GWHN). The symmetry of the anharmonic potential (AHP), the manner of incorporation of GWHN, and the QD confinement interplay with great intricacy to tailor the MCE. AHP of odd (even) symmetry reduces (increases) the confinement of the system relative to the anharmonicity‐free system. Generally, the MCE profiles behave in diverse manner under additive white noise and multiplicative white noise and often show deviation from the noise‐free condition. It is also found that additive (multiplicative) noise lowers (raises) the magnitude of MCE in comparison with the noise‐free values.

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Section: Introductionmentioning

confidence: 99%

“…Therefore, one can find a plethora of studies concerned with thermodynamics of LDSN. [ 33–37,37–45 ] The Shannon entropy is a specific form of the entropy functional widely regarded as the cornerstone of the information‐theory‐based statistical thermodynamics. [ 46 ]…”

Section: Introductionmentioning

confidence: 99%

Harnessing the Shannon Entropy‐Based Magnetocaloric Effect in GaAs Quantum Dot under the Influence of Noise‐Anharmonicity Interplay

Bhakti,

Datta,

Ghosh

2024

Physica Status Solidi (b)

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“…So QDs are also called “artificial atoms” [ 4 ]. Both one-particle and few-particle systems in quantum dots of various geometric shapes have been theoretically studied (see for example [ 5 , 6 , 7 , 8 , 9 , 10 ]). For simple geometries (spherical, cylindrical) of QDs, in some cases, the single-particle Schrödinger equations have exact analytical solutions [ 11 , 12 , 13 , 14 , 15 ].…”

Section: Introductionmentioning

confidence: 99%

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

et al. 2020

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In this paper, the behavior of a heavy hole gas in a strongly prolate ellipsoidal Ge/Si quantum dot has been investigated. Due to the specific geometry of the quantum dot, the interaction between holes is considered one-dimensional. Based on the adiabatic approximation, it is shown that in the z-direction, hole gas is localized in a one-dimensional parabolic well. By modeling the potential of pair interaction between holes in the framework of oscillatory law, the problem is reduced to a one-dimensional, analytically solvable Moshinsky model. The exact energy spectrum of the few-hole gas has been calculated. A detailed analysis of the energy spectrum is presented. The character of long-wave transitions between the center-of-mass levels of the system has been obtained when Kohn theorem is realized.

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Modulation of Thermodynamic Properties of Doped GaAs Quantum Dot under the Influence of Noise

Bhakti,

Datta,

Ghosh

2024

Physica Status Solidi (b)

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In the present enquiry, an in‐depth analysis of internal energy, entropy, heat capacity, and Helmholtz free energy of GaAs quantum dot (QD) which contains Gaussian impurity as dopant and falls under the influence of applied Gaussian white noise (GWHN) is performed. GWHN takes additive and multiplicative routes for its entrance to the doped QD. In this study, highly delicate and complex interplay between temperature, presence/absence of GWHN, mode of incorporation of GWHN, and the particular physical parameters concerned is unveiled. The said interplay, in effect, designs the features of the thermal properties. The enquiry uncovers competitive behavior between thermal disorder and spatial disorder that also affects the said thermodynamic properties.

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Electronic structure of one electron confined in three-dimensional quantum dots

Cited by 16 publications

References 18 publications

Harnessing the Shannon Entropy‐Based Magnetocaloric Effect in GaAs Quantum Dot under the Influence of Noise‐Anharmonicity Interplay

Harnessing the Shannon Entropy‐Based Magnetocaloric Effect in GaAs Quantum Dot under the Influence of Noise‐Anharmonicity Interplay

Long-wave Absorption of Few-Hole Gas in Prolate Ellipsoidal Ge/Si Quantum Dot: Implementation of Analytically Solvable Moshinsky Model

Modulation of Thermodynamic Properties of Doped GaAs Quantum Dot under the Influence of Noise

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