Josephson Current in f-Wave Superconductor/f-Wave Superconductor Junctions

We study the temperature T and the phase of the Josephson critical current I( φ ) by taking into account the roughness scattering effect at inerface in an f-wave superconductor (S)/Insulator layer (I)/f-wave superconductor (S) junction. It is found that the Josephson critical currents in f-wave S/f-wave S, the barrier strength and the roughness strength at inerface always suppress the Andreev reflection. When α =β, the phase dependence of theJosephson current I ( φ ) between two f-wave S is predicted to be sin φ; particularly, when α ≠β, the phase dependence of the Josephson current I( φ ) between two f-wave superconductors is not predicted to be sin φ and with the barrier strength increasing, the period of the I( φ ) turns decrease.