We study the peculiarities of coherency in the superconductivity of two-orbital system. The superconducting phase transition is caused here by the on-site intra-orbital attractions (negative-U Hubbard model) and inter-orbital pair-transfer interaction. The dependencies of critical and non-critical correlation lengths on interaction channels and band fillings are analyzed.
On the basis of a simple model we analyse the influence of disorder on critical temperature T_{c} in p-wave superconductors. The disorder is treated by means of the coherent potential approximation and we focus our attention on the effect of a van Hove singularity near Fermi energy E_{F}. For the appropriate values of its parameters our model reproduces the experimentally found behaviour of Sr_{2} RuO_{4}.
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