Type i superconductivity in Dirac materials

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

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10 Scopus citations


Superconductivity of the second kind was observed in many 3D Weyl and Dirac semi-metals while in the PdTe2, superconductivity is clearly of the first kind. This is very rare in Dirac semi - metals, but is expected in clean conventional metallic superconductors with 3D parabolic dispersion relation. The conduction bands in this material exhibit the linear (Dirac) dispersion only along two directions, while in the third direction the dispersion is parabolic. Therefore the 'hybrid' Dirac-parabolic material is intermediate between the two extremes. A microscopic pairing theory is derived for arbitrary tilt parameter of the 2D cone and used to determine anisotropic coherence lengths, the penetration depths and applied to recent extensive experiments. Magnetic properties of these superconductors are then studied in the parallel to the layers magnetic field on the basis of microscopically derived Ginzburg-Landau effective theory for the order parameter.

Original languageEnglish
Article number335403
Pages (from-to)335403
JournalJournal of Physics Condensed Matter
Issue number33
StatePublished - 26 Jul 2018

Bibliographical note

Funding Information:
We are grateful to NL Wang for valuable discussions and Anne de Visser for useful remarks and information. BR was supported by NSC of ROC Grants No. 103-2112-M-009-014-MY3 and is grateful to School of Physics of Peking University and Bar Ilan Center for Superconductivity for hospitality. The work of DL also is supported by National Natural Science Foundation of China (No. 11674007 and No. 91736208).

Publisher Copyright:
© 2018 IOP Publishing Ltd.


  • Dirac semi-metals
  • Ginzburg Landau theory
  • magnetic properties of superconductors


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