Muon Knight Shift as a Precise Probe of the Superconducting Symmetry of Sr_{2}RuO_{4}

Muon spin rotation (μSR) measurements of internal magnetic field shifts, known as the muon Knight shift, are used for determining pairing symmetries in superconductors. While this technique has been especially effective for f-electron-based heavy-fermion superconductors, it remains challenging in d-electron-based superconductors such as Sr_{2}RuO_{4}, where the Knight shift is intrinsically small. Here, we report high-precision muon Knight shift measurements of superconducting Sr_{2}RuO_{4}. We observe that using multiple pieces of crystals, a common practice in μSR measurements, induces a substantial paramagnetic shift below the superconducting transition temperature, T_{c}, when a weak magnetic field is applied. We attribute such an unresolved paramagnetic shift to stray fields generated by neighboring diamagnetic crystals. To avoid this, one piece of crystal was used in this Letter. We experimentally determine the muon Knight shift of Sr_{2}RuO_{4} in the normal state to be -116±7  ppm. By combining the observed muon Knight shift with independently determined bulk magnetization data from the same crystal used in μSR and carefully separating various contributions to the shift, we confirm a significant reduction in the spin Knight shift below T_{c}, consistent with spin-singlet-like pairing. This result constitutes the precise muon Knight shift measurement in a d-electron-based superconductor. Our results highlight the potential of μSR as a powerful complementary technique to the established method of nuclear magnetic resonance for probing the spin susceptibility in superconductors.