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The random spin-orbit coupling in multicomponent superconductors isinvestigated focusing on the non-centrosymmetric superconductor CePt_3Si andthe spin triplet superconductor Sr_2RuO_4. We find novel manifestations of therandom spin-orbit coupling in the multicomponent superconductors withdirectional disorders, such as stacking faults. The presence of stacking faultsis indicated for the disordered phase of CePt_3Si and Sr_2RuO_4. It is shownthat the d-vector of spin triplet superconductivity is locked to be d = k_y x -k_x y with the anisotropy \Delta T_c/T_c0 \sim \bar{\alpha}^2/T_c0 W_z, where\bar{\alpha}, T_c0, and W_z are the mean square root of random spin-orbitcoupling, the transition temperature in the clean limit, and the kinetic energyalong the c-axis, respectively. This anisotropy is much larger (smaller) thanthat in the clean bulk Sr_2RuO_4 (CePt_3Si). These results indicate that thehelical pairing state d = k_y x - k_x y in the eutectic crystalSr_2RuO_4-Sr_3Ru_2O_7 is stabilized in contrast to the chiral state d = (k_x\pm i k_y) z in the bulk Sr_2RuO_4. The unusual variation of T_c in CePt_3Si isresolved by taking into account the weak pair-breaking effect arising from theuniform and random spin-orbit couplings. These superconductors provide a basisfor discussing recent topics on Majorana fermions and non-Abelian statistics.

Random Spin-orbit Coupling in Spin Triplet Superconductors: Stacking Faults in Sr_2RuO_4 and CePt_3Si