(\mu\)SR measurements on Sr\(_2\)RuO\(_4\) under \(\langle 110 \rangle\) uniaxial stress

Muon spin rotation/relaxation (\(\mu\)SR) and polar Kerr effect measurements provide evidence for a time-reversal symmetry breaking (TRSB) superconducting state in Sr\(_2\)RuO\(_4\). However, the absence of a cusp in the superconducting transition temperature (\(T_{\rm c}\)) vs. stress and the absence of a resolvable specific heat anomaly at TRSB transition temperature (\(T_{\rm TRSB}\)) under uniaxial stress challenge a hypothesis of TRSB superconductivity. Recent \(\mu\)SR studies under pressure and with disorder indicate that the splitting between \(T_{\rm c}\) and \(T_{\rm TRSB}\) occurs only when the structural tetragonal symmetry is broken. To further test such behavior, we measured \(T_\text{c}\) through susceptibility measurements, and \(T_\text{TRSB}\) through \(\mu\)SR, under uniaxial stress applied along a \(\langle 110 \rangle\) lattice direction. We have obtained preliminary evidence for suppression of \(T_\text{TRSB}\) below \(T_\text{c}\), at a rate much higher than the suppression rate of \(T_\text{c}\).