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Violation of Pauli-Clogston limit in the heavy-fermion superconductor CeRh2As2: Duality of itinerant and localized 4f electrons

Kazushige Machida
Phys. Rev. B 106, 184509 – Published 18 November 2022

Abstract

We theoretically propose a mechanism to understand the violation of the Pauli-Clogston limit for the upper critical field Hc2 observed in the Ce bearing heavy Fermion material CeRh2As2 from the view point of spin singlet pairing. It is based on a duality concept, the dual simultaneous aspects of an electron: The itinerant part and localized part of quasiparticles (QPs) originated from the 4f electrons of the Ce atoms. While the itinerant QPs directly participate in forming the Cooper pairs, the localized QPs exert the internal field so as to oppose the applied field through the antiferromagnetic exchange interaction between them. This is inherent in the dense Kondo lattice system in general. We argue that this mechanism can be applied not only to the locally noncentrosymmetric material CeRh2As2, but also to globally inversion symmetry broken Ce-based materials such as CePt3Si. Moreover, we point out that it also works for strongly Pauli-limit-violated spin triplet pairing systems, such as UTe2.

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  • Received 15 September 2022
  • Revised 26 October 2022
  • Accepted 9 November 2022

DOI:https://doi.org/10.1103/PhysRevB.106.184509

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Kazushige Machida

  • Department of Physics, Ritsumeikan University, Kusatsu 525-8577, Japan

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Vol. 106, Iss. 18 — 1 November 2022

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  • Figure 1
    Figure 1

    The field dependences of various quantities for Hc axis. (a) Hc2c vs T phase diagram. SC1 starts at Tc0 with the slope dHc2/dT=α0c and reaches α0cTc0 at T=0. Hc2(2)=α0c(TcT) for SC2. Hc2 ultimately reaches α0cTc/(1Jcfcχc) at T=0 with the enhanced slope -α0c/(1Jcfcχc). Note a jump by JcfcM0. SC2 coexists with the distorted AF. (b) Magnetization processes for the normal (N) and SC states. In the normal state M=0 for H<HFL and jumps by M0 at HFL via the first-order spin flop transition. In the SC it exhibits the negative jump by -JcfcM0 on top of SC diamagnetic background. Here we sketch the AF spin configurations for each field region where at H=0 the moment points to the c direction. (c) Field dependence of γ(H). In SC1 for 0<H<HFL it shows a strong Pauli affected curve with a concave curvature [48]. Corresponding to the Hc2 jump, γ(H) stays a constant and then gradually increases up to the normal value γN at Hc2c. (d) The effective field Heff(H)=H for 0<H<HFL. After showing the negative jump by -JcfM0, Heff(H) grows linearly in H and reaches α0cTc0 at Hc2c far below the unenhanced case drown by the dashed line.

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  • Figure 2
    Figure 2

    The field dependences of various quantities for Hab plane. (a) Hc2ab vs T phase diagram where it is enhanced by Hc2ab(orb)/(1χabJcf) from the orbital Hc2ab(orb). The dashed line denotes the initial slope. Hc2ab(T=0) is low because of the paramagnetic effect. (b) Magnetization processes for the normal and SC states. In the normal state Mab(H)=χabH. In the SC Mab(H) consists of the superconducting diamagnetic contribution and the paramagnetic contribution due to the localized moments. (c) Field dependence of γ(H). it shows a strong Pauli affected curve with a concave curvature with μM=0.8 [48]. The dashed curve indicates γ(H) for the s-wave case with a full gap without the Pauli paramagnetic effect μM=0 [48]. (d) The effective field Heff(H)=H grows linearly in H and reaches α0abTc0 at Hc2ab far below the un-enhanced case drown by the dashed line.

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  • Figure 3
    Figure 3

    Angle dependences of Hc2(θ) where θ is the angle from the c axis towards the ab plane. For θ=0, Hc2c starting from Tc0 meets the spin flop transition line denoted by the green line, and it jump vertically around the point at (TN, HFL). Then Hc2c follows the dashed curve with the enhanced Tc(θ)=Tc0+Jcfcα0cM0(θ) and reaches the enhanced Hc2c(T=0) value given by Eq. (12). Upon increasing θ because the initial slopes at Tc0 decreases according to the effective mass model, TFL(θ) is progressively lowering. Beyond θ>30 it fails to meet the HFL line denoted by the green horizontal line. Thus no enhanced Hc2 occurs. The inset shows the predicted behavior of the magnetization jump M0 as a function of θ.

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