Impact of the non-trivial band structure topology on the properties of superconductors

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Nowadays, topological semimetals and insulators are at the forefront of research in condensed matter physics, not only because of their unusual physical properties but also due to anticipated applications in a new generation of electronics like quantum computers and elements of spintronics. The key feature of these materials is a nontrivial topology of the electronic structure, which manifests itself in many normal and superconducting properties of the materials. Especially interesting are materials, which electronic band structure is close to a topological transition of the Fermi surfaces (Lifshitz transition) or contains Weyl or Dirac points or nodal lines. The main goal of the present project is to investigate the effect of the nontrivial topology and vicinity of the Lifshitz transition on the physical properties of superconductors. The central point of the present proposal is investigation of the superconductivity, its symmetry and manifestation of the nontrivial topological states in Weyl/Dirac semimetals and interfaces of topological insulator – conventional superconductor. To achieve the goals both experimental and theoretical methods will be applied. The project will be conducted by an international team from Moscow and Dresden which includes experimental physicists (Lebedev Physical Institute (LPI), Moscow), solid state and materials chemists, experts in material science research (Institute for Solid State Physics and Material Research (IFW), Dresden) as well as experts in condensed matter theory (both LPI and IFW). With this complimentary expertise, the hottest questions of the chemistry and physics of topological semimetals will be addressed.The results of the project will provide a better understanding of the impact of nontrivial electronic topology on superconductivity. This novel knowledge will create a basis for utilizing such materials for applications.