2014/10/31 by Wen Huang, Edward Taylor, Catherine Kallin · 3 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Lattice (music) #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.90.224519
published as Phys. Rev. B 90, 224519 (2014) · 9 pages, 5 figures. Published version
openalex publication_date 2014/12/19 · arxiv created 2014/12/20 · arxiv updated 2014/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The edge currents of two-dimensional topological chiral superconductors with nonzero Cooper pair angular momentum---e.g., chiral p-, d-, and f-wave superconductivity---are studied. Bogoliubov--de Gennes and Ginzburg-Landau calculations are used to show that in the continuum limit, only chiral p-wave states have a nonzero edge current. Outside this limit, when lattice effects become important, edge currents in non-p-wave superconductors are comparatively smaller, but can be nonzero. Using Ginzburg-Landau theory, a simple criterion is derived for when edge currents vanish for non-p-wave chiral superconductivity on a lattice. The implications of our results for putative chiral superconductors such as Sr2RuO4 and UPt3 are discussed.