论文标题

二维超导体中巨型热厅效应的拟议模型:超导波动范围的扩展

Proposed Model of the Giant Thermal Hall Effect in Two-Dimensional Superconductors: An Extension to the Superconducting Fluctuations Regime

论文作者

Kavokin, A. V., Galperin, Y. M., Varlamov, A. A.

论文摘要

我们扩展了热力学方法,以描述超导相变的附近,在波动的统治状态下。我们表明,大厅的热电导率与化学电位的温度衍生物和系统磁化的乘积成正比。我们认为,后者的衍生物显示了相变附近的强烈奇异性,而前者不包含费米子系统小(T /EF)的特征,这还增加了效果。我们得出了预测不同磁场临界温度附近热霍尔电导率的温度依赖性的分析公式。此外,我们研究了第二临界场附近和温度非常低的量子波动状态中的现象。我们证明了它如何与热力学第三定律完全同意。开发的方法定性地解释了最近观察到的铜酸盐中巨大的热厅效应[1]。

We extend the thermodynamic approach for the description of the thermal Hall effect in the vicinity of a superconducting phase transition, in the fluctuation dominated regime. We show that the Hall heat conductivity is proportional to the product of temperature derivatives of the chemical potential and of the magnetization of the system. We argue that the latter derivative shows the strong singularity in the vicinity of the phase transition, while the former does not contain the characteristic for fermionic systems smallness (T /EF ), what additionally increases the effect. We derive the analytical formula predicting the temperature dependence of the thermal Hall conductivity in the vicinity of the critical temperature for different magnetic fields. Moreover, we study the phenomenon in the regime of quantum fluctuations, in the vicinity of the second critical field and at very low temperatures. We demonstrate how it fades away in a full agreement with the third law of thermodynamics. The developed approach qualitatively explains the recently observed giant thermal Hall effect in cuprates [1].

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