Abstract
We present a theory for the Josephson effect in an unconventional superconductor/Luttinger liquid/unconventional superconductor (s/LL/s) junction where the Josephson current is carried by components injected perpendicular to the interface. We apply the bosonization method by Haldane and Maslov to the cases with arbitrary barrier height of the insulator formed between the superconductor and the LL. When superconductors on both sides have triplet symmetries, the Josephson current is enhanced at low temperatures due to the zero-energy states formed near the interface independent of the strength of electron–electron interaction and the transparency of the junction.
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