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

Edet C. O., Amadi P. O., Onyeaju M. C., Okorie U. S., Sever R., Rampho G. J., ...More

JOURNAL OF LOW TEMPERATURE PHYSICS, vol.202, pp.83-105, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 202
  • Publication Date: 2021
  • Doi Number: 10.1007/s10909-020-02533-z
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.83-105
  • Keywords: Hellmann potential, Magnetic field, Magnetic susceptibility, Aharonov-Bohm flux, Nikiforov-Uvarov functional analysis (NUFA) method, GIBBS FREE-ENERGY, THERMODYNAMIC PROPERTIES, PSEUDOPOTENTIAL METHOD, APPROXIMATION METHOD, SCATTERING STATES, WAVE-FUNCTIONS, ENTROPY, PREDICTION, ENTHALPY, EQUATION
  • Middle East Technical University Affiliated: Yes


In this research work, the Hellmann potential is studied in the presence of external magnetic and AB flux fields 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 effect of the fields on the energy spectra of the system is examined in detail. It is found that the AB field performs better than the magnetic field in its ability to remove degeneracy. Furthermore, the magnetization and magnetic susceptibility of the system were discussed at zero and finite temperatures. We evaluate the partition function and use it to evaluate other thermodynamic properties of the system such as magnetic susceptibility, chi(m)((B) over right arrow, Phi(AB), beta), Helmholtz free energy F((B) over right arrow, Phi(AB), beta), entropy S((B) over right arrow, Phi(AB), beta), internal energy U((B) over right arrow, Phi(AB), beta) and specific heat C-v(B, Phi(AB), beta).A comparative analysis of the magnetic susceptibility of the system at zero and finite 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.