The two critical temperatures conundrum in La\(_{1.83}\)Sr\(_{0.17}\)CuO\(_4\)

The in-plane and out-of-plane superconducting stiffness of LSCO 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...

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Samanta, Abhisek, Mangel, Itay, Keren, Amit, Arovas, Daniel P, Auerbach, Assa
Format: Article
Language:English
Subjects:
Anisotropy
Mathematical analysis
Monte Carlo simulation
Stiffness
Tensors
Transition temperature
Online Access:Get full text
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Summary:The in-plane and out-of-plane superconducting stiffness of LSCO 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 interplane over intraplane superconducting stiffnesses. 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 \(\alpha=4.1\times 10^{-5}\) near \(T_{\rm c}\), which is significantly lower than its previously measured value near zero temperature.
ISSN:2331-8422
DOI:10.48550/arxiv.2308.15540