Thermodynamic properties of two electrons quantum dot with harmonic interaction

Nammas, F.S.

doi:10.1016/j.physa.2018.05.116

Cited by 29 publications

(4 citation statements)

References 32 publications

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“…However, for high temperature, we need a large number of bases to achieve a numerically stable converging energy for the QD system. These results are in agreement with the corresponding ones given very recently in Figure 12 of Nammas' work [38].…”

Section: Resultssupporting

confidence: 94%

Heat capacity and entropy of Gaussian spherical quantum dot in the presence of donor impurity

2019

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The energy states of shallow donor impurity in GaAs/AlGaAs quantum dot heterostructure with Gaussian potential have been calculated by the shifted 1/N expansion method. The effects of the impurity on the ground state energy and average statistical energy have been investigated. The present calculations show that the donor impurity modifies significantly the electron energy levels of spherical quantum dot and thermal properties. In addition, we have also displayed the variations of the heat capacity and entropy of donor impurity in quantum dot with the radius, confining potential depth, dimension and temperature. The comparison shows that our results are in very good agreement with the theoretical reported work.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Section: Resultssupporting

confidence: 94%

Heat capacity and entropy of Gaussian spherical quantum dot in the presence of donor impurity

2019

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“…This shows the trend that the higher the mass the higher the entropy of a molecule. The continuous increase in entropy as the temperature increases indicates its agreement with the second law of thermodynamics often referred to as the generalized second law of thermodynamics GSLT, as this increase is from the enhanced thermal energy of the molecules which leads to increased disorderliness in form of random motion [45,46].…”

Section: A Entropy (S)mentioning

confidence: 63%

Exploring the Thermodynamic Characteristics of Isoelectronic Diatomic Interstellar Molecular Species: Oxygen- and Sulphur-containing Species

Oladimeji,

Etim,

Umeh

et al. 2023

Preprint

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We studied the thermodynamic properties of 18 isoelectric diatomic interstellar molecular species (known and potential) containing oxygen and the corresponding isoelectronic atom; Sulphur, by providing a comprehensive data set for these molecules of astrophysical importance. We began this by computing its partition function q with the GAUSSIAN 09 suite of programs, the thermodynamics properties such as the entropy S, internal energy U, free energy F, heat capacity H etc. were derived. We showed the isoelectronic effect of these Sulphur and Oxygen containing molecular species on several interstellar molecules at temperatures ranging from 0K to 2×106 K (i.e., from the coldest place in the universe to the mean temperature of the interstellar medium).

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“…Numerical techniques are generally suffered from convergence issues; consequently it might be valuable to look for a potential model that simulates the Coulomb interaction. One of these models is the Johnson-Payne potential (Johnson & Payne, 1991) that makes the QD Hamiltonian totally solvent with the goal that all many body effects are incorporated accurately (Nammas, 2018;Al Shorman, Nammas, Haddad, & Shukri, n. d.). Since this model is completely solvable, we won't need to make any other rough estimation.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

Shukri¹,

Nammas²

2019

APR

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The thermal and magnetic properties of a parabolic GaAs quantum dot for two-Harmonically interacting electrons when it exposed to an external magnetic field, taking into account the spin-Zeeman energy are investigated using the canonical ensemble approach. The effect of spin on these properties is also investigated. With the possibility of a basic and physically sensible model of electron-electron interaction, the issue is precisely soluble. We found a Schottky-like anomaly in the heat capacity at low temperature, while it saturates to the 4kB value as the temperature increases. Also it is noted that entropy enhances with temperature as expected. However as a function of a magnetic field, a peak structure is observed in heat capacity at very low values of magnetic field, while it saturates to the 2kB value as magnetic field increases. Also we noticed that these peaks are not presented in the spinless case. Moreover magnetic field does not show a significant effect on the entropy at high temperatures, but at relatively lower temperatures, the entropy shows a monotonic increase with magnetic field. As a function of the Lande g* factor, we found a local minima and a double peak-structure in the susceptibility and in the heat capacity at g*=0. It is demonstrated that the favored state for both magnetization and susceptibility is the diamagnetic state. The significant effect of the spin on the magnetic properties of quantum dot is seen at low values of temperature and magnetic field. Moreover, our results showed a very good agreement with reported previous works.

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Thermodynamic properties of two electrons quantum dot with harmonic interaction

Cited by 29 publications

References 32 publications

Heat capacity and entropy of Gaussian spherical quantum dot in the presence of donor impurity

Heat capacity and entropy of Gaussian spherical quantum dot in the presence of donor impurity

Exploring the Thermodynamic Characteristics of Isoelectronic Diatomic Interstellar Molecular Species: Oxygen- and Sulphur-containing Species

A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

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