Starting from a recently proposed comprehensive theory for the high-Tc superconductivity in cuprates, we derive a general analytic expression for the planar resistivity, in the presence of an applied external magnetic field and explore its consequences in the different phases of these materials. As an initial probe of our result, we show it compares very well with experimental data for the resistivity of La_2-xSr_x CuO₄ (LSCO) at different values of the applied field. We also apply our result to Bi2201 and show that the magnetoresistivity (MR) in the strange metal (SM) phase of this material, exhibits the H ² to H crossover, as we move from the weak to the strong field regime. Yet, despite of that, the MR does not present a quadrature scaling. Remarkably, the resistivity H-field derivative does scale as a function of , in complete agreement with recent magneto-transport measurements made in the SM phase of cuprates (Ayres et al 2020 arXiv:2012.01208). We, finally, address the issue of the T-power-law dependence of the resistivity of overdoped cuprates and compare our results with experimental data for Tl2201. We show that this provides a simple method to determine whether the quantum critical point associated to the pseudogap temperature T ^*(x) belongs to the superconducting dome or not.

从最近提出的铜酸盐高温超导综合理论出发，我们推导出了平面电阻率的一般解析表达式，在存在外加磁场的情况下，并探讨了其在这些材料的不同相中的后果。作为对我们结果的初步探索，我们表明它与不同外加场值下La _2-x Sr _x CuO ₄ (LSCO)电阻率的实验数据非常吻合。我们还将我们的结果应用于 Bi2201，并表明该材料的奇异金属 (SM) 相中的磁电阻率 (MR) 显示出H ²至H交叉，当我们从弱场制度转移到强场制度时。然而，尽管如此，MR 不呈现正交缩放。值得注意的是，电阻率 H 场导数确实是 的函数，这与最近在铜酸盐的 SM 相中进行的磁传输测量完全一致（Ayres等人2020 arXiv：2012.01208）。我们，终于，地址问题牛逼过掺杂铜氧化物的电阻率-Power法律关系和比较我们的结果与Tl2201实验数据。我们表明，这提供了一种简单的方法来确定与伪间隙温度T ^* ( x )相关的量子临界点是否属于超导圆顶。