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Superconductivity is associated with spontaneously broken gauge symmetry. Insome exotic superconductors the time-reversal symmetry is broken as well,accompanied with internal magnetic field. A time-reversal symmetry broken(TRSB) superconductivity without internal magnetic field involved can beinduced by frustrated inter-component couplings, which becomes a realisticissue recently due to the discovery of iron-pnictide superconductors. Here wederive stability condition for this novel TRSB state using the Ginzburg-Landau(GL) theory. We find that there are multiple divergent coherence lengths, andthat this novel superconductivity cannot be categorized by the GL number intotype I or type II. We reveal that the critical Josephson current of aconstriction junction between two bulk superconductors of different chiralitiesis suppressed significantly from that for same chirality. This effect providesa unique way to verify experimentally this brand new superconductivity.

Time-Reversal-Symmetry-Broken Superconductivity Induced by Frustrated Inter-Component Couplings