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.

arXiv comment13 pages, 5 figures

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• Spectroscopic Evidence for Dirac Nodal Surfaces and Nodal Rings in Superconductor NaAlSi
• Magnetic properties of Type I and II Weyl Superconductors
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices
• Type I superconductivity in Dirac materials
• Strong magnetic field induces superconductivity in Weyl semi - metal
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
• Inter-node superconductivity in strained Weyl semimetals
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Upper magnetic field in superconducting Dirac semi-metal
• First-principles study of the electronic structure of CaKRu${}_4$P${}_4$
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