Magnetic Field Effects on the Transport Properties of High-Tc Cuprates

TL;DR

This paper derives a comprehensive analytic expression for the magnetoresistivity of high-Tc cuprates, compares it with experimental data, and explores its implications for understanding quantum criticality and phase behavior in these materials.

Contribution

It introduces a new analytic formula for resistivity under magnetic fields in cuprates, linking theoretical predictions with experimental observations and quantum criticality analysis.

Findings

Resistivity formula matches experimental data for LSCO.

Magnetoresistivity in Bi2201 shows H^2 to H crossover.

Resistivity H-field derivative scales with H/T, aligning with experiments.

Abstract

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 $\textbf{H}$ 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 LSCO at different values of the applied field. We also apply our result to Bi2201 and show that the magnetoresistivity in the strange metal 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 magnetoresistivity does not present a quadrature scaling. Remarkably, the resistivity H-field derivative does scale as a function of $\frac{H}{T}$, in complete agreement with recent magneto-transport measurements made in the strange metal phase of cuprates \cite{Hussey2020}. 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 SC dome or not.