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

B. Rosenstein, B. Ya Shapiro, Dingping Li, I. Shapiro

Research output: Contribution to journalArticlepeer-review


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 μ and parameters characterizing the pairing attraction (effective electron–electron coupling constant λ and the Debye energy TD) 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 (μ≲TD) a moderate exchange constant λex<<1 (below Stoner instability to ferromagnetism) stabilizes the odd pairing superconducting state. The 3D quantum critical point at μ=0 of transition to the triplet superconductivity governs the physics of the superconductor.

Original languageEnglish
Pages (from-to)101-107
Number of pages7
JournalJournal of Low Temperature Physics
Issue number1-2
StatePublished - Apr 2015

Bibliographical note

Publisher Copyright:
© 2014, Springer Science+Business Media New York.


FundersFunder number
National Natural Science Foundation of China11274018
National Science Council Taiwan98-2112-M-009-014-MY3


    • Dirac
    • Semi-metal
    • Superconductivity


    Dive into the research topics of 'Exchange Interaction Makes Superconductivity in 3D Dirac Semi-metal Triplet'. Together they form a unique fingerprint.

    Cite this