Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements

Abstract

Strontium ruthenate Sr${}_2$RuO${}_4$ 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 Sr${}_2$RuO${}_4$ 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 [YS. Li et al., Nature 607, 276--280 (2022)]. To be able to explain the elastocaloric experiment, we find that unconventional even-parity pairings must include either large $d_{x^2-y^2}$-wave or large $\{d_{xz}\mid d_{yz}\}$-wave admixtures, where the latter possibility arises because of the body-centered point group symmetry. These $\{d_{xz}\mid d_{yz}\}$-wave admixtures take the form of distinctively body-centered-periodic harmonics that have horizontal line nodes. Hence $g_{xy(x^2-y^2)}$-wave and $d_{xy}$-wave pairings are excluded as possible dominant even pairing states.

arXiv comment22 pages, 8 figures

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Cited by in corpus (11)

• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• $T_c$ and the elastocaloric effect of Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress: no indications of transition splitting
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Elastic Quantum Criticality in Nematics and Altermagnets via the Elasto-Caloric Effect
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$