Abstract
We show two-dimensional “strong” topological superconductivity in -wave superconductors (SCs). Although the topological invariant of the bulk wave function cannot be defined in -wave and -wave SCs because of nodal excitations, the bulk energy spectrum of -wave SCs on a substrate is fully gapped in a magnetic field. Then the superconducting state is specified by a nontrivial Chern number, and hence topologically nontrivial properties are robust against disorders and interactions. We discuss high-temperature topological superconductivity in cuprate SCs recently fabricated on a substrate. Furthermore, we show that the three-dimensional noncentrosymmetric -wave SC is a Weyl SC hosting topologically protected Weyl nodes. Noncentrosymmetric heavy-fermion SCs, such as and , are candidates for Weyl SCs.
- Received 3 December 2015
DOI:https://doi.org/10.1103/PhysRevB.93.054504
©2016 American Physical Society