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The robustness of the chiral surface current of chiral superconductorsagainst surface roughness is studied utilizing the quasiclassical Eilenbergertheory. We consider the general chiral superconductors where the pair potentialis given by the spherical harmonics $Y_l^m$ such that $(l,m)=(1, \pm1)$ statecorresponds to an ($p_x \pm ip_y$)-wave superconductor. The self-consistentcalculations demonstrate that the robustness of the chiral current isdetermined by whether subdominant $s$-wave Cooper pairs are induced bydisorder. The induced $s$-wave pairs act as an effective pair potential. As aresult, the spontaneous chiral current of ($p_x+ip_y$)- and($d_{x^2-y^2}+id_{xy}$)-wave superconductors are robust against the roughnessbecause the subdominant $s$-wave Cooper pairs are present.

Robustness of chiral surface current and subdominant $s$-wave Cooper pairs