论文标题
低温和高温下双环量子点的热力学特性的评论
Remarks on thermodynamic properties of a double ring-shaped quantum dot at low and high temperatures
论文作者
论文摘要
在本期刊上发表的一篇论文中，Khordad和合作者[J Low Temp Phys（2018）190：200]研究了在外部磁和电场下GAAS双环量子点的热力学特性。在该功能性研究中，系统的能量是通过求解schrödinger方程获得的。将径向方程映射到汇合的高几何微分方程中，并将与$ z $坐标相关的微分方程映射到双色HEUN差分方程中。在本文中，它指出了对双氟Heun方程溶液的一种误导性治疗方法。结果表明，能量$ e_ {z} $不能用$ n_ {z} $标记，并且这一事实危害了该系统的结果。我们使用正确的能量谱计算分区函数，并将特定的热量和熵作为低温和高温的函数重新计算。
In a recent paper published in this Journal, Khordad and collaborators [J Low Temp Phys (2018) 190:200] have studied the thermodynamics properties of a GaAs double ring-shaped quantum dot under external magnetic and electric fields. In that meritorious research the energy of system was obtained by solving the Schrödinger equation. The radial equation was mapped into a confluent hypergeometric differential equation and the differential equation associated to $z$ coordinate was mapped into a biconfluent Heun differential equation. In this paper, it is pointed out a misleading treatment on the solution of the biconfluent Heun equation. It is shown that the energy $E_{z}$ can not be labeled with $n_{z}$ and this fact jeopardizes the results of this system. We calculate the partition function with the correct energy spectrum and recalculate the specific heat and entropy as a function of low and high temperatures.
