Competition mechanism between singlet and triplet superconductivity in the tight-binding model with anisotropic attractive potential

R. Gonczarek, L. Jacak, M. Krzyzosiak () and A. Gonczarek

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 49, issue 2, 171-186

Abstract: Based upon the tight-binding formalism a model of a high-T c superconductor with isotropic and anisotropic attractive interactions is considered analytically. Symmetry facets of the group C 4v are included within a method of successive transformations of the reciprocal space. Complete sets of basis functions of C 4v irreducible representations are given. Plausible spin-singlet and spin-triplet superconducting states are classified with regard to the chosen basis functions. It is displayed that pairing interaction coefficients and the dispersion relation, which can be characterized by the parameter η= 2t 1 /t 0 , have a diverse and mutually competing influence on the value of the transition temperature. It is also shown that in the case of a nearly half-filled conduction band and an anisotropic pairing interaction the spin-singlet d-wave symmetry superconducting state is realized for small values of the parameter η, whereas in the opposite limit, for sufficiently large values, the spin-triplet p-wave symmetry superconducting state has to be formed. This result cannot be obtained within the Van Hove scenario or BCS-type approaches, where the p-wave symmetry superconducting state absolutely dominates. The specific heat jump and the isotope shift as functions of the parameter η are assessed and discussed for the d-wave symmetry singlet and the p-wave symmetry triplet states. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Date: 2006
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DOI: 10.1140/epjb/e2006-00047-7

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