Abstract
The edge currents of two-dimensional topological chiral superconductors with nonzero Cooper pair angular momentum—e.g., chiral -, -, and -wave superconductivity—are studied. Bogoliubov–de Gennes and Ginzburg-Landau calculations are used to show that in the continuum limit, only chiral -wave states have a nonzero edge current. Outside this limit, when lattice effects become important, edge currents in non--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--wave chiral superconductivity on a lattice. The implications of our results for putative chiral superconductors such as and are discussed.
- Received 1 October 2014
- Revised 5 December 2014
DOI:https://doi.org/10.1103/PhysRevB.90.224519
©2014 American Physical Society