Magnetic and Thermodynamic Properties of the Cylindrical DMS Quantum Dot

Abstract

In this work, the magnetic and thermodynamic properties of dilute magnetic semiconductor quantum dots of cylindrical geometry were investigated. The eigenvalue of the quantum system we are considering was obtained by solving the one-electron Schrödinger equation within the framework of the effective mass approach. Then, taking into account the energy spectrum, expressions for thermodynamic quantities and magnetic susceptibility were obtained. The behavior of these expressions depending on temperature was studied using the parameters , , \({R_0}\) and \({L_0}\). Based on the results obtained, it was established that the average energy, free energy, heat capacity, entropy and magnetic susceptibility at low temperatures depend on the parameter . Although the average energy and free energy exhibit linear behavior at \(x=0\), this behavior becomes a rapidly increasing nonlinear function when \(x \ne 0\). In addition, when \(x \ne 0\), magnetic susceptibility reaches a maximum at low temperatures. The peak height increases with and disappears when \(x=0\). The peak of magnetic susceptibility decreases as the magnetic field increases when \(x \ne 0\) and shifts toward higher temperatures. The specific heat forms a Schottky peak at low temperatures and asymptotically approaches \({C_v}=3{k_B}\) at high temperatures.