Destruction of surface states of (dzx+idyz) -wave superconductor by surface roughness: Application to Sr2RuO4

Abstract

The fragility of the chiral surface current of the (dzx+idyz)-wave superconductor, a potential candidate for Sr2RuO4 against surface roughness is demonstrated utilizing the quasiclassical Eilenberger theory. Comparing the chiral surface currents of (dzx+idyz)-wave and (px+ipy)-wave pairings, we conclude the chiral current for (dzx+idyz)-wave SC is much more fragile than that for the (px+ipy)-wave one. The difference can be understood in terms of the orbital symmetry of the odd-frequency Cooper pairs arising at the surface. Our results show the (dzx+idyz)-wave scenario can explain the null spontaneous magnetization in Sr2RuO4 experiments.