Constraints on the superconducting state of Sr2RuO4 from elastocaloric measurements

Grgur Palle; Clifford Hicks; Roser Valenti; Zhenhai Hu; You-Sheng Li; Andreas Rost; Michael Nicklas; Andrew Mackenzie; Jörg Schmalian

doi:10.1103/PhysRevB.108.094516

Constraints on the superconducting state of Sr₂RuO₄ from elastocaloric measurements

Grgur Palle^*, Clifford Hicks, Roser Valenti, Zhenhai Hu, You-Sheng Li, Andreas Rost, Michael Nicklas, Andrew Mackenzie, Jörg Schmalian

^*Corresponding author for this work

Physics and Astronomy

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Abstract

Strontium ruthenate Sr₂RuO₄ is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr₂RuO₄ pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [Y.S. Li et al., Nature 607, 276 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large d_x2−y2-wave or large {d_xz | d_yz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {d_xz | d_yz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence g_{xy(x2−y2 )}-wave and d_xy-wave pairings are excluded as possible
dominant even pairing states.

Original language	English
Article number	094516
Number of pages	20
Journal	Physical Review B
Volume	108
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevB.108.094516
Publication status	Published - 26 Sept 2023

Bibliographical note

Acknowledgments:
We are grateful to Markus Garst for helpful discussions. This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 288-422213477 Elasto-Q-Mat project A05 (R.V.), project A07 (G.P. and J.S.), and project A10 (C.H. and A.P.M.). A.R. acknowledges support from the Engineering and Physical Sciences Research Council (Grant No. EP/P024564/1, EP/S005005/1, and EP/V049410/1). Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence ct.qmat (EXC 2147, project ID 390858940).

Keywords

superconductivity
unconventional superconductivity

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10.1103/PhysRevB.108.094516

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Cite this

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title = "Constraints on the superconducting state of Sr2RuO4 from elastocaloric measurements",

abstract = "Strontium ruthenate Sr2RuO4 is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr2RuO4 pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [Y.S. Li et al., Nature 607, 276 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large dx2−y2-wave or large {dxz | dyz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {dxz | dyz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence gxy(x2−y2 )-wave and dxy-wave pairings are excluded as possibledominant even pairing states.",

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author = "Grgur Palle and Clifford Hicks and Roser Valenti and Zhenhai Hu and You-Sheng Li and Andreas Rost and Michael Nicklas and Andrew Mackenzie and J{\"o}rg Schmalian",

note = "Acknowledgments: We are grateful to Markus Garst for helpful discussions. This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 288-422213477 Elasto-Q-Mat project A05 (R.V.), project A07 (G.P. and J.S.), and project A10 (C.H. and A.P.M.). A.R. acknowledges support from the Engineering and Physical Sciences Research Council (Grant No. EP/P024564/1, EP/S005005/1, and EP/V049410/1). Research in Dresden benefits from the environment provided by the DFG Cluster of Excellence ct.qmat (EXC 2147, project ID 390858940).",

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AU - Rost, Andreas

AU - Nicklas, Michael

AU - Mackenzie, Andrew

AU - Schmalian, Jörg

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N2 - Strontium ruthenate Sr2RuO4 is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr2RuO4 pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [Y.S. Li et al., Nature 607, 276 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large dx2−y2-wave or large {dxz | dyz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {dxz | dyz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence gxy(x2−y2 )-wave and dxy-wave pairings are excluded as possibledominant even pairing states.

AB - Strontium ruthenate Sr2RuO4 is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the Sr2RuO4 pairing debate by giving strong evidence against all odd-parity pairing states, including chiral p-wave pairing that was for a long time the leading pairing candidate. Here, we exclude additional pairing states by analyzing recent elastocaloric measurements [Y.S. Li et al., Nature 607, 276 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large dx2−y2-wave or large {dxz | dyz}-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These {dxz | dyz}-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence gxy(x2−y2 )-wave and dxy-wave pairings are excluded as possibledominant even pairing states.

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