Spin-orbit-induced Kondo size effect in thin films with $5/2$-spin impurities

Recently, for spin $S=5/2\mathrm{}$ impurities, quite different size dependence of the Kondo contribution to the resistivity was found experimentally than for $S=2.\mathrm{}$ Therefore, previous calculation about the effect of the spin-orbit-induced magnetic anisotropy on the Kondo amplitude of the resistivity is extended to the case of $S=5/2\mathrm{}$ impurity spin, which differs from the integer spin case as the ground state is degenerated. In this case the Kondo contribution remains finite when the sample size goes to zero and the thickness dependence in the Kondo resistivity is much weaker for Cu(Mn). The behavior of the Kondo coefficient as a function of the thickness depends on the Kondo temperature, which is somewhat stronger for larger $T_K.$ Comparing our results with a recent experiment in thin Cu(Mn) films, we find a good agreement.