Effect of the type I to type II Weyl semimetal topological transition on superconductivity

Abstract

The influence of recently discovered topological transition between type I and type II Weyl semi-metals on superconductivity is considered. A set of Gorkov equations for weak superconductivity in Weyl semi-metal under topological phase transition is derived and solved. The critical temperature and superconducting gap both have spike in the point the transition point as function of the tilt parameter of the Dirac cone determined in turn by the material parameters like pressure. The spectrum of superconducting excitations is different in two phases: the sharp cone pinnacle is characteristic for a type I, while two parallel almost flat bands, are formed in type II. Spectral density is calculated on both sides of transition demonstrate different weight of the bands. The superconductivity thus can be used as a clear indicator for the topological transformation. Results are discussed in the light of recent experiments.

13 pages, 5 figures

References in corpus (8)

• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Germanene: a novel two-dimensional Germanium allotrope akin to Graphene and Silicene
• 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
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Effects of the Zero-Mode Landau Level on Inter-Layer Magnetoresistance in Multilayer Massless Dirac Fermion Systems
• Quantum critical point in the superconducting transition on the surface of topological insulator

Cited by in corpus (8)

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• Nonsaturating magnetoresistance and nontrivial band topology of type-II Weyl semimetal NbIrTe4
• Topological Dirac states in a layered telluride TaPdTe${}_5$ with quasi-one-dimensional PdTe${}_2$ chains
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Control of superconducting pairing symmetries in monolayer black phosphorus
• Type-II Dirac states in full Heusler compounds XInPd2 (X = Ti, Zr and Hf)
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Strong magnetic field induces superconductivity in Weyl semi - metal