In-plane magnetic penetration depth in Sr$_2$RuO$_4$: muon-spin rotation/relaxation study

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Main Authors: Khasanov, Rustem, Ramires, Aline, Grinenko, Vadim, Shipulin, Ilya, Kikugawa, Naoki, Sokolov, D. A., Maeno, Yoshiteru, Luetkens, Hubertus, Guguchia, Zurab
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Published: 2023
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author Khasanov, Rustem
Ramires, Aline
Grinenko, Vadim
Shipulin, Ilya
Kikugawa, Naoki
Sokolov, D. A.
Maeno, Yoshiteru
Luetkens, Hubertus
Guguchia, Zurab
author_facet Khasanov, Rustem
Ramires, Aline
Grinenko, Vadim
Shipulin, Ilya
Kikugawa, Naoki
Sokolov, D. A.
Maeno, Yoshiteru
Luetkens, Hubertus
Guguchia, Zurab
contents We report on measurements of the in-plane magnetic penetration depth ($λ_{\rm ab}$) in single crystals of Sr$_2$RuO$_4$ down to $\simeq 0.015$ K by means of muon-spin rotation/relaxation. The linear temperature dependence of $λ^{-2}_{\rm ab}$ for $T\lesssim 0.7$ K suggests the presence of nodes in the superconducting gap. This statement is further substantiated by observation of the Volovik effect, $i.e.$ the reduction of $λ_{ab}^{-2}$ as a function of the applied magnetic field. The experimental zero-field and zero-temperature value of $λ_{\rm ab}=124(3)$ nm agrees with $λ_{\rm ab}\simeq 130$ nm, calculated based on results of electronic structure measurements reported in [Phys. Rev X 9, 021048 (2019)]. Our analysis reveals that a simple nodal superconducting energy gap, described by the lowest possible harmonic of a gap function, does not capture the dependence of $λ_{\rm ab}^{-2}$ on $T$, so the higher angular harmonics of the energy gap function need to be introduced.
format Preprint
id arxiv_https___arxiv_org_abs_2305_11156
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle In-plane magnetic penetration depth in Sr$_2$RuO$_4$: muon-spin rotation/relaxation study
Khasanov, Rustem
Ramires, Aline
Grinenko, Vadim
Shipulin, Ilya
Kikugawa, Naoki
Sokolov, D. A.
Maeno, Yoshiteru
Luetkens, Hubertus
Guguchia, Zurab
Superconductivity
We report on measurements of the in-plane magnetic penetration depth ($λ_{\rm ab}$) in single crystals of Sr$_2$RuO$_4$ down to $\simeq 0.015$ K by means of muon-spin rotation/relaxation. The linear temperature dependence of $λ^{-2}_{\rm ab}$ for $T\lesssim 0.7$ K suggests the presence of nodes in the superconducting gap. This statement is further substantiated by observation of the Volovik effect, $i.e.$ the reduction of $λ_{ab}^{-2}$ as a function of the applied magnetic field. The experimental zero-field and zero-temperature value of $λ_{\rm ab}=124(3)$ nm agrees with $λ_{\rm ab}\simeq 130$ nm, calculated based on results of electronic structure measurements reported in [Phys. Rev X 9, 021048 (2019)]. Our analysis reveals that a simple nodal superconducting energy gap, described by the lowest possible harmonic of a gap function, does not capture the dependence of $λ_{\rm ab}^{-2}$ on $T$, so the higher angular harmonics of the energy gap function need to be introduced.
title In-plane magnetic penetration depth in Sr$_2$RuO$_4$: muon-spin rotation/relaxation study
topic Superconductivity
url https://arxiv.org/abs/2305.11156