Magnetic and Thermodynamic Properties of the Cylindrical DMS Quantum Dot

IF 1.1 3区 物理与天体物理 Q4 PHYSICS, APPLIED Journal of Low Temperature Physics Pub Date : 2024-10-01 DOI:10.1007/s10909-024-03222-x
A. M. Babanlı, M. Balcı, V. Sabyrov, R. Saparguliyev, Sh. Shamuhammedov, A. Kakalyyev
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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.

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圆柱形 DMS 量子点的磁性和热力学性质
本文研究了圆柱形稀磁半导体量子点的磁性和热力学性质。我们所考虑的量子系统的特征值是通过在有效质量方法框架内求解单电子薛定谔方程得到的。然后,考虑到能谱,得到热力学量和磁感应强度的表达式。使用参数 \(B\)、\(x\)、\(R_{0}\)和\(L_{0}\)研究了这些表达式随温度变化的行为。根据得到的结果,可以确定低温下的平均能量、自由能、热容量、熵和磁感应强度都取决于参数 (x)。同样在低温下,当 \(x = 0\) 时,平均能和自由能呈现线性关系。随着温度的升高,这种关系变成了非线性。对于 \(x \ne 0\), 平均能和自由能对温度的依赖是一个快速增长的非线性函数。此外,当 \(x\ne 0\) 时,磁感应强度在低温下达到最大值。峰值高度随\(x\)增大,当\(x = 0\) 时峰值消失。当 \(x \ne 0\) 时,磁感应强度的峰值随着磁场的增大而减小,并向高温方向移动。比热在低温下形成一个肖特基峰,在高温下逐渐接近\(C_{v} = 3k_{B}\)。
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来源期刊
Journal of Low Temperature Physics
Journal of Low Temperature Physics 物理-物理:凝聚态物理
CiteScore
3.30
自引率
25.00%
发文量
245
审稿时长
1 months
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.
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