Thermal properties and Magnetic susceptibility of Hellmann potential in Aharanov-Bohm(AB) flux and Magnetic fields at zero and finite temperatures

التفاصيل البيبلوغرافية
العنوان: Thermal properties and Magnetic susceptibility of Hellmann potential in Aharanov-Bohm(AB) flux and Magnetic fields at zero and finite temperatures
المؤلفون: Edet, C. O., Amadi, P. O., Onyeaju, M. C., Okorie, U. S., Sever, R., Rampho, G. J., Ikot, A. N.
سنة النشر: 2019
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Quantum Physics
الوصف: In this research work, the Hellmann potential is studied in the presence of external magnetic and AB-flux fields. We solve the Schrodinger in the presence of these fields and the potential via the functional analysis approach (FAA). 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 examined in details. It is found that the AB field performs better than the magnetic in its ability to remove degeneracy. Furthermore, the magnetization and magnetic susceptibility of the system was 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, Helmholtz free energy,entropy, internal energy and specific heat. A comparative analysis of the magnetic susceptibility of the system at zero and finite temperature shows a similarity in the behavior of the system. A straight forward extension of our results to three dimension shows that the present result is consistent with what is obtains in literature.
Comment: 34 pages, 32 Figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1911.01997
رقم الأكسشن: edsarx.1911.01997
قاعدة البيانات: arXiv