Thermodynamic Properties and Persistent Currents of Harmonic Oscillator Under AB-Flux Field in a Point-Like Defect with Inverse Square Potential

Abstract

In this analysis, we study the eigenvalue solution of the non-relativistic particles confined by the Aharonov-Bohm (AB) flux field in the presence of potential the superposition of a harmonic oscillator plus inverse square potential with constant term in the background of a point-like global monopole. Afterwards, we study the thermodynamic properties of the quantum system at finite temperatures $$T\ne 0$$ and calculate the vibrational free energy, mean energy, specific heat capacity, and the entropy by using the partition function $$Z(\beta )$$ . These quantities are then analyzed and show the influences of the topological defect with flux field and potential. We also see that the energy eigenvalue depends on the geometric quantum phase, and thus an electromagnetic analogue of the Aharonov-Bohm effect is observed. This dependence of the eigenvalue gives rise to a persistent current and we analyze the effects of the topological defect with potential on it.