000011685 001__ 11685 000011685 005__ 20250218124800.0 000011685 02470 $$ahttps://doi.org/10.1103/physrevresearch.3.l042002$$2doi 000011685 037__ $$aTEXTUAL 000011685 037__ $$bArticle 000011685 041__ $$aeng 000011685 245__ $$aPossibility of mixed helical p-wave pairings in Sr<sub>2</sub>RuO<sub>4</sub> 000011685 269__ $$a2021-10-07 000011685 336__ $$aArticle 000011685 520__ $$aThe exact nature of the unconventional superconductivity in Sr<sub>2</sub>RuO<sub>4</sub> remains a mystery. At the phenomenological level, no superconducting order parameter proposed thus far seems able to coherently account for all essential experimental signatures. Among the latter is the prominent polar Kerr effect, which implies a nonzero ac anomalous Hall conductivity. Assuming the Kerr effect is intrinsic, it can be accounted for by a bulk chiral Cooper pairing with nonzero orbital angular momentum, such as p + ip or d + id, which, however, has difficulties in being reconciled with other experimental results. Given the situation, in this paper we propose alternative possibilities with complex mixtures of distinct helical p-wave order parameters, namely A<sub>1u</sub> + i A <sub>2u</sub> and B<sub>1u</sub> + iB<sub>2u</sub> in group theory nomenclature. These states essentially consist of two copies of chiral p-wave pairings with opposite chirality and different pairing amplitudes, and therefore they support intrinsic Hall and Kerr effects. We further show that these states exhibit salient features that may explain several other key observations in this material, including the absence of spontaneous edge current, a substantial Knight shift drop, and possibly signatures in uniaxial strain and ultrasound measurements. 000011685 536__ $$oNSFC$$c11904155 000011685 536__ $$oGuangdong Provincial Key Laboratory$$c2019B121203002 000011685 536__ $$oShenzhen Science and Technology Program$$cKQTD20200820113010023 000011685 536__ $$oUniversity of Chicago$$qhttps://ror.org/024mw5h28$$rROR 000011685 536__ $$oSouthern University of Science and Technology 000011685 540__ $$a<p>Published by the American Physical Society under the terms of the <a href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International</a> license.</p> 000011685 542__ $$fCC BY 000011685 690__ $$aPhysical Sciences Division 000011685 692__ $$aJames Franck Institute 000011685 7001_ $$1https://orcid.org/0000-0002-3931-0669$$2ORCID$$aHuang, Wen$$uShenzhen Institute for Quantum Science and Engineering 000011685 7001_ $$1https://orcid.org/0000-0002-7608-0997$$2ORCID$$aWang, Zhiqiang$$uUniversity of Chicago 000011685 773__ $$tPhysical Review Research 000011685 8564_ $$yArticle$$9a8c9afa7-82d8-4d0b-a6bd-d8c133eb51ce$$s660009$$uhttps://knowledge.uchicago.edu/record/11685/files/PhysRevResearch.3.L042002.pdf$$ePublic 000011685 8564_ $$ySupplemental material$$9da4932c1-c896-473b-b03c-f8ad88ae9b27$$s595207$$uhttps://knowledge.uchicago.edu/record/11685/files/supplementary.pdf$$ePublic 000011685 908__ $$aI agree 000011685 909CO $$ooai:uchicago.tind.io:11685$$pGLOBAL_SET 000011685 983__ $$aArticle