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We have studied the normal and superconductive state characteristics(resistivity, Hall coefficient, heat capacity and magnetization) of modelstrongly correlated electronic systems LuxZr1-xB12 with cooperative Jahn-Tellerinstability of the boron rigid cage and with dynamic charge stripes. It wasfound that these metals are s-wave dirty limit superconductors with a smallmean free path of charge carriers l = 5 - 140 A and with a Cooper pair sizechanging non-monotonously in the range 450 - 4000 A. The parent ZrB12 and LuB12borides are type-I superconductors, and Zr to Lu substitution induces a type-I- type-II phase transition providing a variation of the Ginzburg-Landau-Makiparameter in the limits 0.65 < kappa1,2 < 6. We argue in favor of the two-bandscenario of superconductivity in LuxZr1-xB12 with gap values Delta_1 ~ 14 K andDelta_2 ~ 6 - 8 K, with pairing corresponding to strong coupling limit(lambda_e-ph ~ 1) in the upper band, and to weak coupling (lambda_e-ph ~ 0.1 -0.4) in the lower one. A pseudogap Delta_ps-gap ~ 60 - 110 K is observed inLuxZr1-xB12 above Tc. We discuss also the possibility of anisotropicsingle-band superconductivity with stripe-induced both pair-breaking andanisotropy, and analyze the origin of unique enhanced surface superconductivitydetected in these model compounds.

Inhomogeneous superconductivity in LuxZr1-xB12 dodecaborides with dynamic charge stripes