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Despite much effort for over the two decades, the paring symmetry of aSr$_2$RuO$_4$ superconductor has been still unclear. In this RapidCommunication, motivated by the recent rapid progress in fabrication techniquesfor Sr$_2$RuO$_4$ thin-films, we propose a promising strategy for identifyingthe spin-triplet superconductivity in the thin-film geometry by employing anantisymmetric spin-orbit coupling potential and a Zeeman potential due to anexternal magnetic field. We demonstrate that a spin-triplet superconductingthin-film undergoes a phase transition from a helical state to a chiral stateby increasing the applied magnetic field. This phase transition is accompaniedby a drastic change in the property of surface Andreev bound states. As aconsequence, the helical-chiral phase transition, which is unique to thespin-triplet superconductors, can be detected through a sudden change in atunneling conductance spectrum of a normal-metal/superconductor junction.Importantly, our proposal is constructed by combining fundamental and rigidconcepts regarding physics of spin-triplet superconductivity.

Identification of Spin-Triplet Superconductivity through a Helical-Chiral Phase Transition in Sr$_2$RuO$_4$ Thin-Films