A. M. Babanlı, M. Balcı, V. Sabyrov, R. Saparguliyev, Sh. Shamuhammedov, A. Kakalyyev
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引用次数: 0
Abstract
In this work, the magnetic and thermodynamic properties of dilute magnetic semiconductor quantum dots of cylindrical geometry are investigated. The eigenvalue of the quantum system we are considering is 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 are obtained. The behavior of these expressions depending on temperature is studied using the parameters \(B\), \(x\), \(R_{0}\) and \(L_{0}\). Based on the results obtained, it is established that the average energy, free energy, heat capacity, entropy and magnetic susceptibility at low temperatures depend on the parameter \(x\). Also at low temperatures, when \(x = 0\), the average energy and free energy exhibit a linear relationship. With increasing temperature, this dependence becomes nonlinear. For \(x \ne 0\), the dependence of the average energy and free energy on temperature is a rapidly increasing nonlinear function. In addition, when \(x \ne 0\), magnetic susceptibility reaches a maximum at low temperatures. The peak height increases with \(x\) 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 \(C_{v} = 3k_{B}\) at high temperatures.
期刊介绍:
The Journal of Low Temperature Physics publishes original papers and review articles on all areas of low temperature physics and cryogenics, including theoretical and experimental contributions. Subject areas include: Quantum solids, liquids and gases; Superfluidity; Superconductivity; Condensed matter physics; Experimental techniques; The Journal encourages the submission of Rapid Communications and Special Issues.