Abstract
Within the framework of the Bose–Einstein condensation (BEC) model, the possibility of tunneling of pairs of the Cooper pairs (the Bose 4e condensate) through Josephson junctions (JJ) in exotic superconductors is analyzed. It is demonstrated that the 4e supercurrent transport through the JJ leads to a deviation of the supercurrent from the standard harmonic pattern. Based on the hypothesis of 4e supercurrent transport, the occurrence of half-integer Shapiro steps on the JJ volt-ampere characteristic (VAC) with unharmonic current–phase relationship (CPR) under application of HF or microwave signals and the occurrence of pseudo-minima in the supercurrent dependence on the magnetic flux normalized by fluxoid is interpreted at half-integer Ф Ф0 values.
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