Universal scaling behavior of the c-axis resistivity of high-temperature superconductors

TL;DR

This paper demonstrates that the c-axis resistivity in high-temperature superconductors follows a universal scaling law governed by the pseudogap energy, explaining the semiconductor-like behavior and coherence of c-axis hopping.

Contribution

It introduces a universal scaling law for c-axis resistivity in high-Tc superconductors based on the pseudogap energy, supported by experimental data analysis.

Findings

Resistivity obeys a universal scaling law in the pseudogap phase.

The scaling function fits well with experimental data from multiple compounds.

The results suggest predominantly coherent c-axis hopping.

Abstract

We propose and show that the c-axis transport in high-temperature superconductors is controlled by the pseudogap energy and the c-axis resistivity satisfies a universal scaling law in the pseudogap phase. We derived approximately a scaling function for the c-axis resistivity and found that it fits well with the experimental data of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$, Bi$_2$Sr$_2$Ca$_2$Cu$_3$O$_{10+\delta}$, and YBa$_2$Cu$_3$O$_{7-\delta}$. Our works reveals the physical origin of the semiconductor-like behavior of the c-axis resistivity and suggests that the c-axis hopping is predominantly coherent.