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arXiv 1809.04736cond-mat.supr-concond-mat.mtrl-sci
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单重态-五重态混合$j=\frac{3}{2}$超导体的自旋磁化率、上临界场和无序效应

Spin Susceptibility, Upper Critical Field and Disorder Effect in $j=\frac{3}{2}$ Superconductors with Singlet-Quintet Mixing

Jiabin Yu, Chao-Xing Liu

摘要:

最近,在含$j=\frac{3}{2}$电子的超导材料中,理论上提出了一种新的配对态,即中心对称自旋轨道耦合导致的s波单重态和各向同性d波五重态的混合。本文基于Luttinger模型,推导了单重态-五重态混合态的零温自旋磁化率、零场临界温度附近的上临界场$T_c$和弱随机非磁无序下的临界温度的表达式.我们的研究揭示了以下特点的单线态五重态混合。(1)对于单重态-五重态混合态,如果只考虑中心对称的自旋轨道耦合,零温自旋极化率仍然为零,而当引入非中心对称的自旋轨道耦合时,零温自旋极化率将偏离零. (2)单重态-五重态混合可以帮助增强上临界场,因为它可以增加$T_c$。(3)虽然五重态通道通常被非磁性无序散射所抑制,但我们发现单重态和五重态通道之间的强混合有助于稳定五重态通道。因此,我们仍然发现一个相当大的五重态成分混合到单重态通道中存在弱随机非磁性障碍。我们的工作为今后单重态-五重态混合超导态的自旋磁化率和上临界场的实验提供了指导,并阐明了单重态-五重态混合对弱随机非磁无序的稳定性.

英文摘要:

Recently, a new pairing state with the mixing between s-wave singlet channel and isotropic d-wave quintet channel induced by centrosymmetric spin-orbit coupling has been theoretically proposed in the superconducting materials with $j=\frac{3}{2}$ electrons. In this work, we derive the expressions of the zero-temperature spin susceptibility, the upper critical field close to the zero-field critical temperature $T_c$ and the critical temperature with weak random non-magnetic disorders for the singlet-quintet mixed state based on the Luttinger model. Our study revealed the following features of the singlet-quintet mixing. (1) The zero-temperature spin susceptibility remains zero for the singlet-quintet mixed state if only the centrosymmetric spin-orbit coupling is taken into account, and will deviate from zero when the non-centrosymmetric spin-orbit coupling is introduced. (2) The singlet-quintet mixing can help enhance the upper critical field roughly because it can increase $T_c$. (3) Although the quintet channel is generally suppressed by the non-magnetic disorder scattering, we find the strong mixing between singlet and quintet channels can help to stabilize the quintet channel. As a result, we still find a sizable quintet component mixed into the singlet channel in the presence of weak random non-magnetic disorders. Our work provides the guidance for future experiments on spin susceptibility and upper critical field of the singlet-quintet mixed superconducting states, and illustrates the stability of the singlet-quintet mixing against the weak random non-magnetic disorder.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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