| Summary: | Yukawa potential has garnered remarkable attention since its proposition. It is applied in condensed matter physics, plasma physics, high energy physics and related areas. Based on this widespread applicability, this study focused on the analysis of the effects of topological defect on the thermal and magnetic properties of this system. Non-relativistic treatment of this potential in the presence of magnetic fields and Aharonov–Bohm is performed using the functional analytical approach (FAA). The energy equation and the wavefunction are analytically derived. The accessible energy levels are summed up to obtain to get the partition function that is used to derive the expressions for the thermo-magnetic properties of the Yukawa potential. These properties are analysed in detail by means of graphical representations. It is observed that in the various settings of the analysis, the system has a diamagnetic characteristic and the behaviour of the heat capacity is in accordance with the recognized law of Dulong–Petit, although some anomalies are observed. This irregular behaviour could be attributed to Schottky anomaly. The results of our research will be helpful in many fields of physics: condensed matter physics, high energy physics, etc.
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