Thermal Properties and Magnetic Susceptibility of Hellmann Potential in Aharonov–Bohm (AB) Flux and Magnetic Fields at Zero and Finite Temperatures

Y. Abdullah, Hewa and H. Salih, Idris (2020) Thermal Properties and Magnetic Susceptibility of Hellmann Potential in Aharonov–Bohm (AB) Flux and Magnetic Fields at Zero and Finite Temperatures. Journal of Low Temperature Physics, 202. pp. 83-105.

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Abstract

In this research work, the Hellmann potential is studied in the presence of external magnetic and AB fux felds within the framework of Schrodinger equation using the Nikiforov–Uvarov functional analysis method. The energy equation and wave function of the system are obtained in closed form. The efect of the felds on the energy spectra of the system is examined in detail. It is found that the AB feld performs better than the magnetic feld in its ability to remove degeneracy. Furthermore, the magnetization and magnetic susceptibility of the system were discussed at zero and fnite temperatures. We evaluate the partition function and use it to evaluate other thermodynamic properties of the system such as magnetic susceptibility,�m(B⃗, �AB, �), Helmholtz free energy F (B⃗, �AB, �), entropy S(B⃗, �AB, �), internal energy U (B⃗, �AB, �)and specifc heat Cv(B⃗, �AB, �). A comparative analysisof the magnetic susceptibility of the system at zero and fnite temperatures shows a similarity in the behavior of the system. A straightforward extension of our results to three dimensions shows that the present result is consistent with what is obtained in the literature.

Item Type: Article
Uncontrolled Keywords: Hellmann potential · Magnetic feld · Magnetic susceptibility · Aharonov–Bohm fux · Nikiforov–Uvarov functional analysis (NUFA) method
Subjects: Q Science > QC Physics
Depositing User: ePrints deposit
Date Deposited: 08 Mar 2021 07:28
Last Modified: 08 Mar 2021 07:28
URI: http://eprints.tiu.edu.iq/id/eprint/416

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