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26 April 2024
 
  » arxiv » 1803.0371

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Possible three-dimensional nematic odd-parity superconductivity in Sr$_2$RuO$_4$
Wen Huang ; Hong Yao ;
Date 1 Mar 2018
AbstractThe superconducting pairing in Sr$_2$RuO$_4$ is widely considered to be chiral p-wave with $vec{d}_{oldsymbol k} sim (k_x + ik_y)hat{z}$, which belongs to the $E_u$ representation of the crystalline $D_{4h}$ group. However, this superconducting order appears hard to reconcile with a number of key experiments. In this paper, based on symmetry analysis we discuss the possibility of odd-parity pairing with inherent three-dimensional (3D) character enforced by the inter-orbital interlayer coupling and the sizable spin-orbit coupling (SOC) in the material. We focus on a yet unexplored $E_u$ pairing, which contains finite $(k_z hat x$, $k_z hat y)$-component in the gap function. Under appropriate circumstances a novel time-reversal invariant nematic pairing can be realized. This superconducting state could make contact with some puzzling observations on Sr$_2$RuO$_4$, such as the absence of spontaneous edge current.
Source arXiv, 1803.0371
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