Abstract
AbstractA two‐dimensional model of an anisotropic superconductor with a relatively wide partially filled conduction band and a dispersion relation implying singularities in the density of states is considered. Employing the conformal transformation method and choosing the Fourier harmonics as the complete and orthogonal basis for C4v irreducible representations the symmetry of the superconducting order parameter is identified. Detailed numerical calculations are carried out for the two‐dimensional tight‐binding band model and compared with the results obtained within the BCS‐type approximation. Diagrams of stable superconducting states in the coordinates η = 2t1/t0 and n (carrier concentration) are outlined. Symmetry relations with respect to replacing η with −η are found and discussed. The problem of coexistence of s‐, p‐ and d‐wave order parameters is addressed. The triple points are localized and supreme transition temperatures are evaluated. It is shown that the results obtained for various values of the pairing amplitude V1 coincide, whereas the tight‐binding results and some obtained within the BCS‐type approximation are dissimilar. The influence of the attractive or repulsive onsite interaction on the stability of the s‐wave order parameter is explained. The developed and widely illustrated formalism can be easily applied to some more composed models. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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