TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.6.148
TI  - The two critical temperatures conundrum in La$_{1.83}$Sr$_{0.17}$CuO$_4$
PY  - 2024/06/05
UR  - https://scipost.org/SciPostPhys.16.6.148
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 6
SP  - 148
A1  - Samanta, Abhisek
AU  - Mangel, Itay
AU  - Keren, Amit
AU  - Arovas, Daniel P.
AU  - Auerbach, Assa
AB  - The in-plane and out-of-plane superconducting stiffness of ${\rm La}^{\vphantom{\dagger}}_{1.83}{\rm Sr}^{\vphantom{\dagger}}_{0.17}{\rm CuO}^{\vphantom{\dagger}}_4$ rings appear to vanish at different transition temperatures, which contradicts thermodynamical expectation. In addition, we observe a surprisingly strong dependence of the out-of-plane stiffness transition on sample width. With evidence from Monte Carlo simulations, this effect is explained by very small ratio $\alpha$ of inter-plane over intra-plane Josephson couplings. For three dimensional rings of millimeter dimensions, a crossover from layered three dimensional to quasi one dimensional behavior occurs at temperatures near the thermodynamic transition temperature ${T_{\rm c}}$, and the out-of-plane stiffness appears to vanish below ${T_{\rm c}}$ by a temperature shift of order $\alpha L_a/{\xi^{\parallel}}$, where $L_a/{\xi^{\parallel}}$ is the sample's width over coherence length. Including the effects of layer-correlated disorder, the measured temperature shifts can be fit by a value of $\alpha=4.1× 10^{-5}$, near ${T_{\rm c}}$, which is significantly lower than its previously measured value near zero temperature.
ER  -

@Article{10.21468/SciPostPhys.16.6.148,
	title={{The two critical temperatures conundrum in La$_{1.83}$Sr$_{0.17}$CuO$_4$}},
	author={Abhisek Samanta and Itay Mangel and Amit Keren and Daniel P. Arovas and Assa Auerbach},
	journal={SciPost Phys.},
	volume={16},
	pages={148},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.6.148},
	url={https://scipost.org/10.21468/SciPostPhys.16.6.148},
}