Anisotropy of the irreversibility field for Zr-doped $(Y,Gd)Ba_2Cu_3O_{7-x}$ thin films up to 45T

TL;DR

This study investigates the anisotropic irreversibility field in Zr-doped REBCO thin films up to 45T, revealing deviations from traditional anisotropy scaling and highlighting the significant impact of correlated pinning centers on vortex behavior.

Contribution

The paper provides new insights into how strong correlated pinning centers alter the anisotropy of the irreversibility field in REBCO thin films, challenging existing scaling models.

Findings

Anisotropy of $B_{Irr}$ deviates from mass anisotropy scaling.

Correlated pinning enhances $B_{Irr}$ at specific angles.

Pinning effects vary with temperature and field orientation.

Abstract

The anisotropic irreversibility field B$_{Irr}$ of two $YBa_2Cu_3O_{7-x}$ thin films doped with additional rare earth (RE)=(Gd,Y) and Zr and containing strong correlated pins (splayed BaZrO$_{3}$ nanorods, and $RE_2O_3$ nanoprecipitates), has been measured over a very broad range up to 45T at temperatures 56 K<T<$T_c$. We found that the experimental angular dependence of $B_{Irr}(\theta)$ does not follow the mass anisotropy scaling $B_{Irr}(\theta)=B_{Irr}(0)(cos^2\theta+\gamma^{-2}sin^2\theta)^{-1/2}$, where $\gamma=(m_c/m_{ab})^{1/2}=5-6$ for the RE-doped $YBa_2Cu_3O_{7-x}$ (REBCO) crystals, m$_{ab}$ and m$_{c}$ are the effective masses along the ab plane and the c-axis, respectively, and $\theta$ is the angle between B and the c-axis. For B parallel to the ab-planes and to the c-axis correlated pinning strongly enhances B$_{Irr}$, while at intermediate angles, $B_{Irr}(\theta)$ follows the scaling behavior $B_{Irr}(\theta)\propto(cos^2\theta+\gamma_{RP}^2sin^2\theta)^{1/2}$ with the effective anisotropy factor $\gamma_{RP}\approx3$ significantly smaller than the mass anisotropy would suggest. In spite of the strong effects of c-axis BaZrO$_{3}$ nanorods, we found even greater enhancements of B$_{Irr}$ for fields along the ab-planes than for fields parallel to the c-axis, as well as different temperature dependences of the correlated pinning contributions to B$_{Irr}$ for B//ab and B//c. Our results show that the dense and strong pins, which can now be incorporated into REBCO thin films in a controlled way, exert major and diverse effects on the measured vortex pinning anisotropy and the irreversibility field over wide ranges of B and T. In particular, we show that the relative contribution of correlated pinning to B$_{Irr}$ for B//c increases as the temperature increases due to the suppression of thermal fluctuations of vortices by splayed distribution of BaZrO$_{3}$ nanorods.