Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot

Alemu Gurmessa Gindaba; Menberu Mengesha Woldemariam; Senbeto Kena Etana

doi:doi:10.11648/j.ajpa.20231101.11

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Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot

Alemu Gurmessa Gindaba, Menberu Mengesha Woldemariam, Senbeto Kena Etana

Published in American Journal of Physics and Applications (Volume 11, Issue 1)

Received: 16 December 2022 Accepted: 7 February 2023 Published: 16 February 2023

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Abstract

The particular interest of this paper is to investigate the impact of various values of temperature exposed to weak and strong magnetic field strength. A thermodynamic property's oscillatory change as a function of magnetic field effect (B) intensifies the quantization of electron orbits in a constant magnetic field intensity and is the primary contributor to the de Haas-van Alphen effects due to cyclotron frequency and its impact on localizing electron at circular region imposed with the magnetic field that is in contrary to the result of the temperature effect. Thus the interdependent effects of external magnetic field and temperature on thermodynamic properties are studied with harmonic oscillator potentials considering material parameters of GaAs quantum dot. The finite energy state is analytically solved using Nikiforov-Uvarov mathematical formalism. Moreover, the direct impact of the external magnetic fields and temperature on thermodynamic properties of the system is analyzed, and numerically simulated using matlab R2017a version. The dominance of temperature over the external magnetic field and vice versa effect is investigated, thus the value specific heat capacity fluctuated, while the equiponderate impact of temperature and magnetic field shows similar steady values of the specific heat capacity. The study clearly shows the interdependence of magnetic field and temperature affect thermodynamic quantities: partition function, mean energy, entropy, and specific heat capacity.

Published in	American Journal of Physics and Applications (Volume 11, Issue 1)
DOI	10.11648/j.ajpa.20231101.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2023. Published by Science Publishing Group

Keywords

Energy Spectrum, NU Method, Quantum Dot, Partition Function, Means Energy, Entropy and Specific Heat Capacity

References

[1]	Nurmikko, A. (2015). What future for quantum dot-based light emitters? Nature nanotechnology. 1001–1004.
[2]	Ikot, A. A. (2009). Variational principle techniques and the propertiesof a cut-off and anharmonic wave function, E-Journal of Chemistry, 113–119.
[3]	Chabab, M. E. (2016). Closed analytical solutions of the d-dimensional schrödinger equation with deformed woods–saxon potential plus double ring-shaped potential. Zeitschrift f¨ur Naturforschung A, 59-68.
[4]	Chen, C.-Y. Y.-H.-H. (2013). Exact solutions of the schrödinger equation with double ring-shaped oscillator. Physics Letters A, 1521–1525.
[5]	Cooper, F. K. (1995). Supersymmetry and quantum mechanics Physics Reports, 267–385.
[6]	Dong, S.-H. (2007). Factorization method in quantum mechanics. Springer Science & Business Media.
[7]	Nikiforov, A. F. (n.d.). Special functions of mathematical physics.
[8]	Ya¸suk, F. B. (2005). Exact solutions of the schr¨odinger equation with non-central potential by the nikiforov–uvarov method. Journal of Physics A: Mathematical and General, 6579.
[9]	Gu, X.-Y. D.-H. (2011). Energy spectrum of the manning-rosen potential including centrifugal term solved by exact and proper quantization rules. Journal of Mathematical Chemistry, 2053-2062.
[10]	Fakhri, H. &. (2004). Supersymmetry approachesto the bound states of the generalized woods–saxon potential. Modern Physics Letters A, 615–625.
[11]	Berkdemir, C. B. (2008). Shapeinvariance approach and hamiltonian hierarchy method on the woods–saxon potential for 6= 0 states. Journal of Mathematical chemistry, 944-954.
[12]	Ahmed, Z. (2002). Pseudo-hermiticity of hamiltonians under gauge-like transformation: real spectrum of non-hermitian hamiltonians. Physics Letters A, 287-291.
[13]	Gu, X.-Y. &.-Q. (2010). Any -state solutions of the hulth´en potential in arbitrary dimensions. Journal of mathematical physics, 022106.
[14]	Meyur, S. &. (2008). Schr¨odinger equation with modified hulth´en plus scarf potential. Bulg. J. Phys, 290–302.
[15]	Chen, C.-Y. &.-H. (2005). Exactly complete solutions of the coulomb potential plus a new ring-shaped potential. Physics Letters A, 374–382.
[16]	Maghsoodi, E. H. (2012). Dirac particles in the presence of the yukawa potential plus a tensor interaction in susyqm framework. Physica Scripta, 015005.
[17]	Flögge, S. (2012). Practical quantum mechanics. Springer Science & Business Media.
[18]	Voon, L. L. (2002). Confined states inlens-shaped quantum dots.,. Condensed Matter, 13667.
[19]	Haug, H. &. (2009). Quantum theory of the optical and electronic properties of semiconductors. World Scientific Publishing Company.
[20]	Porras-Montenegro, N. P.-M. (1993). Binding energies and density of impurity states in spherical gaas-(ga, al) as quantum dots. Journal of applied Physics, 7624-7626.
[21]	Khordad, R. (2010). Effects of magnetic field and geometrical size on the interband light absorption in a quantum pseudodot system. Solid State Sciences, 1253–1256.
[22]	Peter, A. J. (2004). The effect of hydrostatic pressure on metal–insulator transition in quantum well semiconductor systems. Solid state communications, 155-158.
[23]	Boucenna, M. &. (2004). Predicted electronic properties of gaas under hydrostatic pressure. Materials chemistry and physics, 375-379.
[24]	Zhao, G. L. (2003). Binding energies of donors in quantum wells under hydrostatic pressure. Physics Letters A, 319 (1-2), 191–197.
[25]	Meng, X.-G. W.-S.-L. (2010). Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform. Chinese Physics B, 124205.
[26]	Tezcan, C. A. (2007). Exact solution of schrödinger equation for pseudoharmonic potential. arXiv preprint quant-ph/0701206.
[27]	Bogachek, E. L. (1995). Edge states, aharonovbohm oscillations, and thermodynamic and spectral properties in a two-dimensional electron gas with an antidot. Physical Review B, 14067.
[28]	Ikhdair, S. M. (2015). Nonrelativistic molecular models under external magnetic and ab flux fields. Annals of Physics, 282-298.
[29]	Ikhdair, S. &. (2012b). A quantum pseudodotsystem with two-dimensional pseudoharmonic oscillator in external magnetic and aharonov-bohm fields. Physica B: Condensed Matter, 4198-4207.
[30]	Whitney, R. S. (2013). Thermodynamic and quantum bounds on nonlinear dc thermoelectric transport. Physical Review B, 87 (11), 115404.
[31]	Gatteschi, D. &. (2003). Quantum tunneling of magnetization and related phenomena in molecular materials. Angewandte Chemie International Edition, 268–297.
[32]	Awoga, O. A. (2011). Thermodynamic properties of the harmonic oscillator and a four level system. Applied Physics research, 47.
[33]	Accardi, L. O. (1997). Dynamical entropy through quantum markov chains. Open systems & Information Dynamics, 71-87.
[34]	Wu, H. W. (2010). Thermodynamic properties of the mixed spin-1/2 and spin-1 ising chain with both longitudinal and transverse single-ion anisotropies. Journal of magnetism and magnetic materials, 3502-35507.
[35]	Ingold, G.-L. H. (2009). Specific heat anomalies of open quantum systems. Physical Review E, 061105.
[36]	Fresch, B. &. (2010). Emergence of equilibrium thermodynamic properties in quantum pure states. ii. Analysis of a spin model system. The Journal of chemical physics, 034510.
[37]	Takahashi, E. J. (2008). Coherent water window x ray by phase-matched high-order harmonic generation in neutral media. Physical review letters, 253901.
[38]	Rauschenbeutel, A. B.-M. (2001). Controlled entanglement of two field modes in a cavity quantum electrodynamics experiment. Physical Review A, 050301.
[39]	Mishra, T. S. (2013). Thermal properties of a particle confined to a parabolic quantum well in 2D space with conical disclination. ArXiv preprint arXiv: 1308, 3109.

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Alemu Gurmessa Gindaba, Menberu Mengesha Woldemariam, Senbeto Kena Etana. (2023). Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. American Journal of Physics and Applications, 11(1), 1-7. https://doi.org/10.11648/j.ajpa.20231101.11

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ACS Style

Alemu Gurmessa Gindaba; Menberu Mengesha Woldemariam; Senbeto Kena Etana. Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. Am. J. Phys. Appl. 2023, 11(1), 1-7. doi: 10.11648/j.ajpa.20231101.11

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AMA Style

Alemu Gurmessa Gindaba, Menberu Mengesha Woldemariam, Senbeto Kena Etana. Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. Am J Phys Appl. 2023;11(1):1-7. doi: 10.11648/j.ajpa.20231101.11

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@article{10.11648/j.ajpa.20231101.11,
  author = {Alemu Gurmessa Gindaba and Menberu Mengesha Woldemariam and Senbeto Kena Etana},
  title = {Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajpa.20231101.11},
  url = {https://doi.org/10.11648/j.ajpa.20231101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231101.11},
  abstract = {The particular interest of this paper is to investigate the impact of various values of temperature exposed to weak and strong magnetic field strength. A thermodynamic property's oscillatory change as a function of magnetic field effect (B) intensifies the quantization of electron orbits in a constant magnetic field intensity and is the primary contributor to the de Haas-van Alphen effects due to cyclotron frequency and its impact on localizing electron at circular region imposed with the magnetic field that is in contrary to the result of the temperature effect. Thus the interdependent effects of external magnetic field and temperature on thermodynamic properties are studied with harmonic oscillator potentials considering material parameters of GaAs quantum dot. The finite energy state is analytically solved using Nikiforov-Uvarov mathematical formalism. Moreover, the direct impact of the external magnetic fields and temperature on thermodynamic properties of the system is analyzed, and numerically simulated using matlab R2017a version. The dominance of temperature over the external magnetic field and vice versa effect is investigated, thus the value specific heat capacity fluctuated, while the equiponderate impact of temperature and magnetic field shows similar steady values of the specific heat capacity. The study clearly shows the interdependence of magnetic field and temperature affect thermodynamic quantities: partition function, mean energy, entropy, and specific heat capacity.},
 year = {2023}
}

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TY  - JOUR
T1  - Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot
AU  - Alemu Gurmessa Gindaba
AU  - Menberu Mengesha Woldemariam
AU  - Senbeto Kena Etana
Y1  - 2023/02/16
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231101.11
DO  - 10.11648/j.ajpa.20231101.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231101.11
AB  - The particular interest of this paper is to investigate the impact of various values of temperature exposed to weak and strong magnetic field strength. A thermodynamic property's oscillatory change as a function of magnetic field effect (B) intensifies the quantization of electron orbits in a constant magnetic field intensity and is the primary contributor to the de Haas-van Alphen effects due to cyclotron frequency and its impact on localizing electron at circular region imposed with the magnetic field that is in contrary to the result of the temperature effect. Thus the interdependent effects of external magnetic field and temperature on thermodynamic properties are studied with harmonic oscillator potentials considering material parameters of GaAs quantum dot. The finite energy state is analytically solved using Nikiforov-Uvarov mathematical formalism. Moreover, the direct impact of the external magnetic fields and temperature on thermodynamic properties of the system is analyzed, and numerically simulated using matlab R2017a version. The dominance of temperature over the external magnetic field and vice versa effect is investigated, thus the value specific heat capacity fluctuated, while the equiponderate impact of temperature and magnetic field shows similar steady values of the specific heat capacity. The study clearly shows the interdependence of magnetic field and temperature affect thermodynamic quantities: partition function, mean energy, entropy, and specific heat capacity.
VL  - 11
IS  - 1
ER  -

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Author Information

Alemu Gurmessa Gindaba

Department of Physics, College of Natural and Computational Science, Wollega University, Nekemte, Ethiopia
Menberu Mengesha Woldemariam

Department of Physics, Jimma University, Jimma, Ethiopia
Senbeto Kena Etana

Department of Physics, College of Natural and Computational Science, Wollega University, Nekemte, Ethiopia

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APA Style

Alemu Gurmessa Gindaba, Menberu Mengesha Woldemariam, Senbeto Kena Etana. (2023). Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. American Journal of Physics and Applications, 11(1), 1-7. https://doi.org/10.11648/j.ajpa.20231101.11

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ACS Style

Alemu Gurmessa Gindaba; Menberu Mengesha Woldemariam; Senbeto Kena Etana. Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. Am. J. Phys. Appl. 2023, 11(1), 1-7. doi: 10.11648/j.ajpa.20231101.11

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AMA Style

Alemu Gurmessa Gindaba, Menberu Mengesha Woldemariam, Senbeto Kena Etana. Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot. Am J Phys Appl. 2023;11(1):1-7. doi: 10.11648/j.ajpa.20231101.11

Copy | Download

@article{10.11648/j.ajpa.20231101.11,
  author = {Alemu Gurmessa Gindaba and Menberu Mengesha Woldemariam and Senbeto Kena Etana},
  title = {Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot},
  journal = {American Journal of Physics and Applications},
  volume = {11},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ajpa.20231101.11},
  url = {https://doi.org/10.11648/j.ajpa.20231101.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20231101.11},
  abstract = {The particular interest of this paper is to investigate the impact of various values of temperature exposed to weak and strong magnetic field strength. A thermodynamic property's oscillatory change as a function of magnetic field effect (B) intensifies the quantization of electron orbits in a constant magnetic field intensity and is the primary contributor to the de Haas-van Alphen effects due to cyclotron frequency and its impact on localizing electron at circular region imposed with the magnetic field that is in contrary to the result of the temperature effect. Thus the interdependent effects of external magnetic field and temperature on thermodynamic properties are studied with harmonic oscillator potentials considering material parameters of GaAs quantum dot. The finite energy state is analytically solved using Nikiforov-Uvarov mathematical formalism. Moreover, the direct impact of the external magnetic fields and temperature on thermodynamic properties of the system is analyzed, and numerically simulated using matlab R2017a version. The dominance of temperature over the external magnetic field and vice versa effect is investigated, thus the value specific heat capacity fluctuated, while the equiponderate impact of temperature and magnetic field shows similar steady values of the specific heat capacity. The study clearly shows the interdependence of magnetic field and temperature affect thermodynamic quantities: partition function, mean energy, entropy, and specific heat capacity.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - Interdependence of External Magnetic and Temperature Effect on Thermodynamic Properties of GaAs Two Electron Quantum Dot
AU  - Alemu Gurmessa Gindaba
AU  - Menberu Mengesha Woldemariam
AU  - Senbeto Kena Etana
Y1  - 2023/02/16
PY  - 2023
N1  - https://doi.org/10.11648/j.ajpa.20231101.11
DO  - 10.11648/j.ajpa.20231101.11
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20231101.11
AB  - The particular interest of this paper is to investigate the impact of various values of temperature exposed to weak and strong magnetic field strength. A thermodynamic property's oscillatory change as a function of magnetic field effect (B) intensifies the quantization of electron orbits in a constant magnetic field intensity and is the primary contributor to the de Haas-van Alphen effects due to cyclotron frequency and its impact on localizing electron at circular region imposed with the magnetic field that is in contrary to the result of the temperature effect. Thus the interdependent effects of external magnetic field and temperature on thermodynamic properties are studied with harmonic oscillator potentials considering material parameters of GaAs quantum dot. The finite energy state is analytically solved using Nikiforov-Uvarov mathematical formalism. Moreover, the direct impact of the external magnetic fields and temperature on thermodynamic properties of the system is analyzed, and numerically simulated using matlab R2017a version. The dominance of temperature over the external magnetic field and vice versa effect is investigated, thus the value specific heat capacity fluctuated, while the equiponderate impact of temperature and magnetic field shows similar steady values of the specific heat capacity. The study clearly shows the interdependence of magnetic field and temperature affect thermodynamic quantities: partition function, mean energy, entropy, and specific heat capacity.
VL  - 11
IS  - 1
ER  -

Copy | Download