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Exchange Interaction Makes Superconductivity in 3D Dirac Semi-metal Triplet

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Abstract

Conventional electron–phonon coupling induces either odd (triplet) or even (singlet) pairing states in a time reversal and inversion invariant Dirac semi-metal. In a certain range of the chemical potential \(\mu \) and parameters characterizing the pairing attraction (effective electron–electron coupling constant \(\lambda \) and the Debye energy \(T_\mathrm{D}\)) the energy of the singlet although always lower, prevails by a very slim margin over the triplet. This means that interactions that are small but discriminate between the spin singlet and the spin triplet determine the nature of the superconducting order there. It is shown that in materials close enough to the Dirac point ( \(\mu \lesssim T_\mathrm{D}\)) a moderate exchange constant \(\lambda _\mathrm{ex}<<1\) (below Stoner instability to ferromagnetism) stabilizes the odd pairing superconducting state. The 3D quantum critical point at \(\mu =0\) of transition to the triplet superconductivity governs the physics of the superconductor.

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Acknowledgments

Work of B.R. and D.L. was supported by NSC of R.O.C. Grants No. 98-2112-M-009-014-MY3 and MOE ATU Program. The work of D.L. also is supported by the National Natural Science Foundation of China (No. 11274018).

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Authors and Affiliations

  1. Electrophysics Department, National Chiao Tung University, Hsinchu, Taiwan, ROC

    B. Rosenstein

  2. Physics Department, Ariel University, 40700, Ariel, Israel

    B. Rosenstein

  3. Physics Department, Bar-Ilan University, 52900, Ramat-Gan, Israel

    B. Ya. Shapiro & I. Shapiro

  4. School of Physics, Peking University, Beijing, 100871, China

    Dingping Li

  5. Collaborative Innovation Center of Quantum Matter, Beijing, China

    Dingping Li

Authors
  1. B. Rosenstein
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  2. B. Ya. Shapiro
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  3. Dingping Li
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  4. I. Shapiro
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Correspondence to Dingping Li.

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Rosenstein, B., Shapiro, B.Y., Li, D. et al. Exchange Interaction Makes Superconductivity in 3D Dirac Semi-metal Triplet. J Low Temp Phys 179, 101–107 (2015). https://doi.org/10.1007/s10909-014-1232-3

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  • DOI: https://doi.org/10.1007/s10909-014-1232-3

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