Nonstationary Josephson effect for superconductors with charge-density waves

The nonstationary Josephson I-1, interference I-2, and quasiparticle J currents through symmmetrical and nonsymmetrical tunnel junctions involving superconductors with charge-density waves (CDW's) were calculated. In the symmetrical (s) case the voltage V dependence of the Josephson current I-s(1)(V) has logarithmic singularities at /eV/ = 2 Delta, Delta + D, and 2D, where D = root(Delta(2) + Sigma(2)), Delta is the superconducting order parameter, Sigma is the dielectric order parameter, and e is the elementary charge. For temperatures T not equal 0 the jump at a bias /eV/ = D - Delta emerges in I-s(1)(V). The I-s(2)(V) and J(s)(V) possess jumps and singularities at the same biases where singularities and jumps occur in I-s(1)(V). For the nonsymmetrical (ns) junctions, which include also the ordinary superconductor, singularities and jumps appear at biases /eV/ = D + Delta(BCS), Delta + Delta(BCS), and (for T not equal 0) /D - Delta(BCS)/ and /Delta - Delta(BCS)/. Here Delta(BCS) is the superconducting order parameter of the ordinary superconductor. The quasiparticle current J(ns) is an asymmetrical function of the voltage V and depends on the sign of Sigma. The theory describes the properties of NbSe3 and high-T-c oxides.