Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}

The exact nature of the unconventional superconductivity in Sr_{2}RuO_{4} 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 ef...

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Main Authors: Wen Huang, Zhiqiang Wang
Format: Article
Language:English
Published: American Physical Society 2021-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.L042002
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author Wen Huang
Zhiqiang Wang
author_facet Wen Huang
Zhiqiang Wang
author_sort Wen Huang
collection DOAJ
description The exact nature of the unconventional superconductivity in Sr_{2}RuO_{4} 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_{1u}+iA_{2u} and B_{1u}+iB_{2u} 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.
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spelling doaj.art-a378473c6921429f8adac01f2cb5c4562024-04-12T17:14:40ZengAmerican Physical SocietyPhysical Review Research2643-15642021-10-0134L04200210.1103/PhysRevResearch.3.L042002Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}Wen HuangZhiqiang WangThe exact nature of the unconventional superconductivity in Sr_{2}RuO_{4} 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_{1u}+iA_{2u} and B_{1u}+iB_{2u} 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.http://doi.org/10.1103/PhysRevResearch.3.L042002
spellingShingle Wen Huang
Zhiqiang Wang
Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
Physical Review Research
title Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
title_full Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
title_fullStr Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
title_full_unstemmed Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
title_short Possibility of mixed helical p-wave pairings in Sr_{2}RuO_{4}
title_sort possibility of mixed helical p wave pairings in sr 2 ruo 4
url http://doi.org/10.1103/PhysRevResearch.3.L042002
work_keys_str_mv AT wenhuang possibilityofmixedhelicalpwavepairingsinsr2ruo4
AT zhiqiangwang possibilityofmixedhelicalpwavepairingsinsr2ruo4