Volume 124, Number 2, October 2018
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||19 November 2018|
Upper critical magnetic field in superconducting Dirac semimetal
1 Electrophysics Department, National Chiao Tung University - Hsinchu 30050, Taiwan, ROC
2 Physics Department, Bar-Ilan University - 52900 Ramat-Gan, Israel
3 School of Physics, Peking University - Beijing 100871, China
4 Collaborative Innovation Center of Quantum Matter - Beijing, China
Received: 6 September 2018
Accepted: 15 October 2018
Temperature dependence of the upper critical field Hc2 of the Dirac semimetal (DSM) with phonon-mediated pairing is considered within the semiclassical approximation. The low-temperature 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 zero-temperature Hc2 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.
PACS: 74.20.Fg – BCS theory and its development / 74.90.+n – Other topics in superconductivity (restricted to new topics in section 74) / 74.20.Rp – Pairing symmetries (other than s-wave)
© EPLA, 2018
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