Heat capacity and entropy of two electrons quantum dot in a magnetic field with parabolic interaction

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

doi:10.1016/j.cjph.2018.04.012

Cited by 21 publications

(4 citation statements)

References 19 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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“…The solutions of the Schrödinger equation (SE) have been obtained analytically with different potential energy models. Expressions for the bound-state energies have been successfully used to investigate the thermodynamic, optical, magnetic and other physical properties of substances [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Bound-state energy spectrum and thermochemical functions of the deformed Schiöberg oscillator

Ahmed,

Eyube,

Omugbe

et al. 2023

Preprint

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In this study, a diatomic molecule interacting potential such as the deformed Schiöberg oscillator (DSO) have been applied to diatomic systems. By solving the Schrödinger equation in the with the DSO, analytical equations for the energy eigenvalues, molar entropy, molar enthalpy, molar Gibbs free energy and constant pressure molar heat capacity were obtained. The obtained equations were used to analyze the physical properties of diatomic molecules. With the aid of the DSO, the percentage average absolute deviation (PAAD) of computed data from the experimental data of the 7Li2 (2 3Πg), NaBr (X 1Σ+), KBr (X 1Σ+) and KRb (B 1Π) molecules are 1.3319%, 0.2108%, 0.2359% and 0.8841%, respectively. The PAAD values obtained by employing the equations of molar entropy, scaled molar enthalpy, scaled molar Gibbs free energy and isobaric molar heat capacity are 1.2919%, 1.5639%, 1.5957% and 2.4041%, respectively, from the experimental data of the KBr (X 1Σ+) molecule. The results of the energy spectra and thermodynamic properties are in good agreement with literature and available experimental data on diatomic molecules.

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“…It is noted that the effect of Rashba spin-orbit interaction is significant on magnetization, heat capacity and susceptibility only at low values of magnetic field, its sharpness the peak observed in heat capacity, it shifts it to the lowest temperature value. Recently, heat capacity and entropy have been calculated in a closed form, for two electrons with parabolic interaction confined in parabolic quantum dot in the presence of external magnetic field (Al Shorman et al, 2018). Canonical formalism had been used to calculate thermal and magnetic properties of one electron confined in two-dimensional Gaussian quantum dot ( 2,3 .…”

Section: Introductionmentioning

confidence: 99%

The Effect of Magnetic Field on the Thermodynamic Properties of Three-Dimensional GaAs Quantum Dot

Shorman¹

2022

APR

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The problem of parabolically single three-dimensional semiconductor GaAs quantum dot in the presence of an external magnetic field and including the spin of the electron is studied using canonical formalism. The energy spectrum is obtained as a function of temperature and magnetic field. It is observed that the system tends to absorb the largest amount of heat at critical values of the magnetic field which depends on the temperature. A schottky-like anomaly in heat capacity is observed at low temperature, while at high temperature it converges rapidly and saturates. It was also found that the entropy is inversely proportional to the magnetic field strength, also entropy showed exciting behavior at low temperature, a shoulder is observed which becomes curvier when the magnetic field decreases. However, at high temperature, entropy increases monotonically with temperature and becomes essentially independent of the magnetic field. The substantial effect of magnetic field on the magnetic properties of quantum dot is observed at low temperature. It is shown that, magnetization increases significantly at low temperature and shows strong dependence on magnetic field, while its magnitude increases as the temperature increases and reduces to zero regardless the value of magnetic field strength. In addition, at low temperature susceptibility peaks and is found to be paramagnetic and at high temperature the diamagnetic state is found to be a favored state of the system and susceptibility becomes completely independent of magnetic field. It is also shown that for a fixed value of temperature, susceptibility increases rapidly with magnetic field and beyond a critical value of magnetic field, the increase becomes much slower, susceptibility exhibits a crossing behavior, and magnetization shows a significant drop as the magnetic field increases. So far, no study has been made in literature on the effect of magnetic field on the thermal and magnetic properties of three-dimensional quantum dot.

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Heat capacity and entropy of two electrons quantum dot in a magnetic field with parabolic interaction

Cited by 21 publications

References 19 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

Bound-state energy spectrum and thermochemical functions of the deformed Schiöberg oscillator

The Effect of Magnetic Field on the Thermodynamic Properties of Three-Dimensional GaAs Quantum Dot

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