Measurements of Stationary Josephson Current between High-$T_{c}$ Oxides as a Tool to Detect Charge Density Waves

TL;DR

This paper investigates how stationary Josephson current measurements can serve as a tool to detect charge density waves in high-temperature cuprate superconductors, revealing nonmonotonic dependencies related to CDW parameters.

Contribution

It introduces a model analyzing Josephson current behavior in the presence of charge density waves, proposing a new experimental method to identify CDWs in cuprates.

Findings

$I_{c}$ dependence on CDW parameters can be strongly nonmonotonic.

$I_{c}$ measurements across doping levels can indicate CDW presence.

Orientation dependence of $I_{c}$ was also analyzed.

Abstract

Stationary Josephson tunnel current $I_{c}$ between superconductors with $d$-wave order parameter symmetry and charge-density-wave (CDW) partial gapping was analyzed in the two-dimensional model appropriate to high-$T_{c}$ cuprates. It was shown that, in certain experimental setups, due to the peculiar overlap of superconducting and CDW gaps in the momentum space, the dependence of $I_{c}$ on the CDW parameters may be strongly nonmonotonic. Hence, we suggested that $I_{c}$ measurements in the wide range of dopings can serve as an indicator of CDW existence in the pseudogap regions of the cuprate phase diagrams. Besides, the orientation $I_{c}$-dependences were analyzed.