Spin susceptibility, upper critical field, and disorder effect in $$j = \frac{3}{2}$$ superconductors with singlet–quintet mixing

Journal Article · Wed Aug 12 00:00:00 EDT 2020 · Journal of Applied Physics

DOI:https://doi.org/10.1063/5.0013596· OSTI ID:1803539

Yu, Jiabin ^[1]; Liu, Chao-Xing ^[2]

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1. Pennsylvania State Univ., University Park, PA (United States); OSTI
2. Pennsylvania State Univ., University Park, PA (United States)

Recently, a new pairing state with the mixing between the s-wave singlet channel and the 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 [J. Yu and C.-X. Liu, Phys. Rev. B 98, 104514 (2018)]. In this article, 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 reveals 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 deviates 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.

• Research Organization: Pennsylvania State Univ., University Park, PA (United States)
• Sponsoring Organization: US Department of the Navy, Office of Naval Research (ONR); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
• Grant/Contract Number: SC0019064
• OSTI ID: 1803539
• Alternate ID(s): OSTI ID: 1647271
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 6 Vol. 128; ISSN 0021-8979
• Publisher: American Institute of Physics (AIP)
• Country of Publication: United States
• Language: English

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75 CONDENSED MATTER PHYSICS
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