Thermodynamic and magnetic properties of a particle in a polar quantum disc with conical disclination in the presence of magnetic field.

Abstract

In this study, we explore the thermodynamic and magnetic properties of a non-interacting, spinless charged particle confined by a parabolic potential within a polar quantum disc featuring a conical disclination, subject to a uniform magnetic fieldB. The central theme of this investigation is to explore the impact of a topological defect, namely the conical disclination, on the system's thermodynamic and magnetic properties. The disclination of the system is characterized by kink parameterκ. The thermodynamic and magnetic characteristics of the system are assessed using the canonical formalism. The energy spectrum of the system consisting of non-interacting spinless charged particles is derived by solving the Schrödinger equation using the effective mass approximation. It is found that the energy of the system decreases with an increase in theκ, owing to the weakening of confinement. Increasing the value of theκincreases the internal energy (U), entropy (S) while decreasing the heat capacity (C_v). Moreover, the increasing value ofκcauses to reduce the magnetization (M) and magnetic susceptibility (χ_m).