Magnetic properties of Type I and II Weyl Superconductors

Abstract

Superconductivity was observed in certain range of pressure and chemical composition in Weyl semi-metals of both the type I and type II (when the Dirac cone tilt parameter $\kappa >1$). Magnetic properties of these superconductors are studied on the basis of microscopic phonon mediated pairing model. The Ginzburg - Landau effective theory for the order parameter is derived using Gorkov approach and used to determine anisotropic coherence length, the penetration depth determining the Abrikosov parameter for a layered material and applied to recent extensive experiments on . It is found that superconductivity is of second kind near the topological transition at $\kappa =1$, but becomes first kind away from it. For the superconductors of the second kind the dependence of critical fields $H_{c2}$ and $H_{c1}$ on the tilt parameter $\kappa$ (governed by pressure) is compared with the experiments. Strength of thermal fluctuations is estimated and its is found that they are strong enough to cause Abrikosov vortex lattice melting near $H_{c2}$. The melting line is calculated and is consistent with experiments provided the fluctuations are three dimensional in the type I phase (large pressure) and two dimensional in the type II phase (small pressure).

21pages, 7 figures

References in corpus (11)

• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
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• Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe${}_{1.98}$ crystals at the quasi-classical regime
• Type I superconductivity in the Dirac semimetal PdTe2
• Manipulation of type-I and type-II Dirac points in PdTe2 superconductor by external pressure
• Superconductivity in Type-II Weyl Semimetals
• Effect of the type I to type II Weyl semimetal topological transition on superconductivity
• Quantum critical point in the superconducting transition on the surface of topological insulator
• Strong magnetic field induces superconductivity in Weyl semi - metal

Cited by in corpus (10)

• Magnetic textures and dynamics in magnetic Weyl semimetals
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Type I superconductivity in Dirac materials
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Heat capacity of type I superconductivity in the Dirac semimetal PdTe${}_2$
• Superconducting phase transition in planar fermionic models with Dirac cone tilting
• Disorder induced transition from type-I to type-II superconductivity in the Dirac semimetal PdTe${}_2$
• Upper magnetic field in superconducting Dirac semi-metal
• Aslamazov Larkin Conductivity in Weyl Semimetals