Universal electrical resistivity in iron-based high-temperature superconductors

Abstract

Temperature-dependent electrical resistivity $\rho (T)$ in cuprate, iron-based, and nickelate superconductors represents one of unresolved problems in modern solid-state physics, because of the high absolute value of $\rho (T)$, which, in many cases, exceeds the Ioffe-Rigel criterion, and a large difference in the $\rho (T)$ shape for samples with different doping. Here I show that the nearest neighbors parallel resistivity model (arXiv: 2607.23484) can well describe the in-plane resistivity ${\rho }_{ab}(T)$ in iron-based superconductors (IBS) of type 11, 111, 122, 1111, 1144 and 42214 in which the spin density wave phase or nematic order is suppressed by doping. The model is based on the postulate that ${\rho }_{ab}(T)$ is a sum of two parallel conduction channels, where one channel is described by the Bloch-Grüneisen equation and the other by the Arrhenius hopping equation. Consequently, the variety of ${\rho }_{ab}(T)$ in the IBS is explained as a variation of the Debye temperature ${\Theta }_D$ and the hopping activation energy $E_a$. The derived Debye temperatures were used to estimate the electron-phonon coupling constant ${\lambda }_{e-ph}$in the studied IBS.

arXiv comment39 pages, 8 figures, 1 Table