Abstract
We construct a theory of a heterotic Josephson junction between single- and two-gap superconductors. The theory predicts the presence of in-phase and out-of-phase collective modes of superconducting phases. The former is the Josephson plasma mode, and the latter is a counterpart of Leggett’s mode in Josephson junctions. A signature for ±s-wave superconductivity is a drastic reduction of the frequency of the Josephson plasma mode. We also show that the magnetic field distribution of the Josephson vortex for ±s-wave superconductivity is more enlarged than that for s-wave without sign change between the order parameters.
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