%0 Journal Article
%T Non-topological nature of the edge current in a chiral p-wave superconductor
%A Wen Huang
%A Samuel Lederer
%A Edward Taylor
%A Catherine Kallin
%J Physics
%D 2014
%I arXiv
%R 10.1103/PhysRevB.91.094507
%X The edges of time reversal symmetry breaking topological superconductors support chiral Majorana bound states as well as spontaneous charge currents. The Majorana modes are a robust, topological property, but the charge currents are non-topological--and therefore sensitive to microscopic details--even if we neglect Meissner screening. We give insight into the non-topological nature of edge currents in chiral p-wave superconductors using a variety of theoretical techniques, including lattice Bogoliubov-de Gennes equations, the quasiclassical approximation, and the gradient expansion, and describe those special cases where edge currents do have a topological character. While edge currents are not quantized, they are generically large, but can be substantially reduced for a sufficiently anisotropic gap function, a scenario of possible relevance for the putative chiral p-wave superconductor Sr$_2$RuO$_4$.
%U http://arxiv.org/abs/1412.4592v1