arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2403.04059cond-mat.mes-hall
收藏

霍尔类器件的功率效率:互易与反互易奥纳瑟关系的比较

Power efficiency of Hall-like devices: comparison between reciprocal and anti-reciprocal Onsager relations

Jean-Eric Wegrowe, Luqian Zhou, Sariah Al Saati

AI总结:

研究霍尔类器件中互易与反互易奥纳瑟关系对功率效率的影响,揭示横向霍尔电流分布相同但纵向电流和耗散功率存在差异。

摘要:

在铁磁体中,两种著名的霍尔类效应正在发生:异常霍尔效应和平面霍尔效应。前者类似于经典霍尔效应,由第二种奥纳瑟互易关系(反对称导电矩阵)定义,而后者由第一种奥纳瑟互易关系(对称导电矩阵)定义。这种差异是根本性的,因为它基于微观尺度的时间不变性对称性破缺。我们研究了这两种情况下产生的霍尔电流,以及可以从霍尔器件边缘提取的功率。从热力学第二定律基于变分法的 方法中,得到了稳态条件下电流分布、电荷载体分布以及功率效率(即注入负载电路的功率)的表达式。研究表明,横向霍尔电流的分布在两种情况下是相同的,但纵向电流和耗散功率在霍尔角的二次项中有所不同。

英文摘要:

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind (antisymmetric conductivity matrix), while the latter is defined by the Onsager reciprocity relation of the first kind (symmetric conductivity matrix). The difference is fundamental, as it is based on time-invariance symmetry breaking at the microscopic scale. We study the Hall current generated in both cases, together with the power that can be extracted from the edges of Hall device. The expressions of the distribution of the electric currents, the distribution of electric carriers, and the power efficiencies (i.e. the power that can be injected into a load circuit) are derived at stationary regime from a variational method based on the second law of thermodynamics. It is shown that the distribution of the transverse Hall-current is identical in both cases but the longitudinal current and the power dissipated differ at the second order in the Hall angle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑