Abstract

The magnetization and magnetic torque of a high-quality single crystal of Sr2_2RuO4_4 have been measured down to 0.1 K under a precise control of the magnetic-field orientation. When the magnetic field is applied exactly parallel to the abab plane, a sharp magnetization jump 4πδM4πδM of (0.74±0.15)(0.74 \pm 0.15) G at the upper critical field Hc2,ab∼15H_{{\rm c2},{ab}} \sim 15 kOe with a field hysteresis of 100 Oe is observed at low temperatures, evidencing a first-order superconducting-normal transition. A strong magnetic torque appearing when HH is slightly tilted away from the abab plane confirms an intrinsic anisotropy Γ=ξa/ξc\varGamma=ξ_a/ξ_c of as large as 60 even at 100 mK, in contrast with the observed Hc2H_{\rm c2} anisotropy of ∼20\sim 20. The present results raise fundamental issues in both the existing spin-triplet and spin-singlet scenarios, providing, in turn, crucial hints toward the resolution of the superconducting nature of Sr2_2RuO4_4.

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