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In the unconventional superconductor Sr$\mathsf{_2}$RuO$\mathsf{_4}$, unusualfirst-order superconducting transition has been observed in the low-temperatureand high-field region, accompanied by a four-fold anisotropy of the in-planeupper critical magnetic field $H_{c2}$. The origin of such unusual $H_{c2}$behavior should be closely linked to the debated superconducting symmetry ofthis oxide. Here, toward clarification of the unusual $H_{c2}$ behavior, weperformed the resistivity measurements capable of switching in-plane currentdirections as well as precisely controlling the field directions. Our resultsreveal that resistive $H_{c2}$ under the in-plane current exhibits anadditional two-fold anisotropy. By systematically analyzing $H_{c2}$ data takenunder various current directions, we succeeded in separating the two-fold$H_{c2}$ component into the one originating from applied current and the otheroriginating from certain imperfection in the sample. The former component,attributable to vortex flow effect, is weakened at low temperatures where$H_{c2}$ is substantially suppressed. The latter component is enhanced in thefirst order transition region, possibly reflecting a change in the nature ofthe superconducting state under high magnetic field.

Current-induced superconducting anisotropy of Sr$\mathsf{_2}$RuO$\mathsf{_4}$