Abstract
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 language | English |
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Article number | 27004 |
Journal | EPL |
Volume | 124 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2018 |
Bibliographical note
Publisher Copyright:© 2018 EPLA.
Funding
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).
Funders | Funder number |
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Peking and Bar Ilan Universities | |
National Natural Science Foundation of China | 11674007, 91736208 |
Ministry of Science and Technology, Taiwan | 107-2112-M-009-023-MY3 |