In this work, we have considered ballistic nanowires in the presence of gate-controlled Rashba spin–orbit interaction and an in-plane magnetic field. First, the energy expression of the nanowires was obtained. Then, the analytical relations for the mean energy, free energy, specific heat, entropy and magnetic susceptibility of the system were derived. It is found that the specific heat and magnetic susceptibility show peak structure in the presence of spin–orbit and magnetic field. The peak position of specific heat depends on the Rashba constant, Zeeman splitting parameter and the angle between magnetic field and the wire axis (θ). The peak of magnetic susceptibility disappears with increasing magnetic field and decreasing θ.

中文翻译：

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具有 Rashba 自旋轨道相互作用的纳米线的磁性和热力学特性

在这项工作中，我们考虑了存在栅极控制的 Rashba 自旋轨道相互作用和面内磁场的弹道纳米线。首先，获得纳米线的能量表达式。然后，推导出系统的平均能、自由能、比热、熵和磁化率的解析关系。发现在存在自旋轨道和磁场的情况下，比热和磁化率呈现峰值结构。比热的峰值位置取决于 Rashba 常数、塞曼分裂参数以及磁场与线轴之间的角度 (θ)。磁化率的峰值随着磁场的增加和θ的减小而消失。