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Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium Ruthenate

James F. Annett·G. Litak·B. L. Gyorffy·K. I. Wysokinski
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Abstract

Determination of the orbital symmetry of a state in spin triplet Sr$_2$RuO$_4$ superconductor is a challenge of considerable importance. Most of the experiments show that the chiral state of the $\hat{z} (k_x \pm ik_y)$ type is realized and remains stable on lowering the temperature. Here we have studied the stability of various superconducting states of Sr$_2$RuO$_4$ in the presence of spin-orbit coupling. Numerically we found that the chiral state is never the minimum energy. Alone among the five states studied it has $<{\bf \hat L}.{\bf \hat S} >=0$ and is therefore not affected to linear order in the coupling parameter $λ$. We found that stability of the chiral state requires spin dependent pairing interactions. This imposes strong constraint on the pairing mechanism.

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James F. Annett, G. Litak, B. L. Gyorffy, K. I. Wysokinski. 2004-11-06. Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium Ruthenate. https://doi.org/10.1103/physrevb.73.134501

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