Strong magnetic field induces superconductivity in Weyl semi - metal

Abstract

Microscopic theory of the normal-to-superconductor coexistence line of a 2D two-band Weyl superconductor subjected to magnetic field is constructed. It is shown that a Weyl semi-metal that is nonsuperconducting or having a small critical temperature $T_c$ at zero field, might become a superconductor at higher temperature when the magnetic field is tuned to a series of quantized values $H_n$. The pairing occurs on Landau levels. It is argued that the phenomenon is much easier detectable in Weyl semi - metals than in parabolic band metals since the quantum limit already has been approaches in several Weyl materials.. An experimental signature of the superconductivity on Landau levels is the reduction of magnetoresistivity. This has already been observed in $C{d}_{3}A{s}_2$ and several other compounds. The novel kind of quantum oscillations of magnetoresistance detected in $ZrT{e}_5$ is discussed along these lines.

22 pages, 6 figures

References in corpus (4)

• Tip induced unconventional superconductivity on Weyl semimetal TaAs
• Effect of the type I to type II Weyl semimetal topological transition on superconductivity
• Dirac and Weyl fermions: from Gor'kov equations to Standard Model (in memory of Lev Petrovich Gorkov)
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction

Cited by in corpus (3)

• Magnetic textures and dynamics in magnetic Weyl semimetals
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Aslamazov Larkin Conductivity in Weyl Semimetals