Abstract: The work on the research of pinning effect in the anomalous Hall effect of high-Tc superconductors is reported. Based on the extended power lawequation and consideringthe pinning effect, two scaling relations are deduced which agree well with the experimental data of different superconductors. Meanwhile, based on the results of TDGL (time dependent Ginzburg-Landau) theory and considering pinning effect, two Hall conductivity equations for superconductors with and without double sign reversal were reported.

Key words: pinning effect, high-Tc superconductors, anomalous Hall effect, scaling relation, Hall conductivity equation

摘要： 研究了钉扎在高温超导体反常霍尔效应中的作用。将从Ginzburg-Landau(GL) 理论出发推导出的扩展幂律方程应用到高温超导体霍尔效应中, 并详细考虑钉扎效应, 得到了霍尔电阻在低温低场端分别关于温度和磁场的两个标度律, 不同高温超导体的实验数据可以很好地标度在一起。同时, 基于含时GL理论的结果并考虑钉扎效应,给出了一组描述存在一次或多次霍尔反号的高温超导体的霍尔电导方程。

关键词: 钉扎, 高温超导体, 反常霍尔效应, 标度律, 霍尔电导方程