Upper critical magnetic field in superconducting Dirac semimetal

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Temperature dependence of the upper critical field H c2 of the Dirac semimetal (DSM) with phonon-mediated pairing is considered within the semiclassical approximation. The lowerature dependence deviates from conventional BCS superconductor with parabolic dispersion relation (Werthamer N. R., Helfand E. and Hohenberg P. C., Phys. Rev., 147 (1966) 295; Helfand E. and Werthamer N. R., Phys. Rev. Lett., 13 (1964) 686) even for large adiabaticity parameter, , where μ is the chemical potential and Ω the Debye frequency. In particular the "reduced field", ratio of zeroerature H c2 to the derivative at critical temperature, , depends on γ and can be extended beyond the adiabatic limit. The reduced magnetic field ratio is universal (independent of the chemical potential, interaction strength, etc.) and smaller than the Werthamer ratio for clean superconductors: for DSM, for parabolic band. The results are in good agreement compared with recent experiments on TaP.

Original languageEnglish
Article number27004
Issue number2
StatePublished - Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 EPLA.


We are grateful to T. Maniv for valuable discussions. BR acknowledges MOST of ROC grant 107-2112-M-009-023-MY3, hospitality of Peking and Bar Ilan Universities. DL was supported by National Natural Science Foundation of China (Nos. 11674007 and 91736208).

FundersFunder number
Peking and Bar Ilan Universities
National Natural Science Foundation of China11674007, 91736208
Ministry of Science and Technology, Taiwan107-2112-M-009-023-MY3


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