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Islands of stability of the d-wave order parameter in s-wave anisotropic superconductors

  • Mathematical Structures in Statistical and Condensed Matter Physics
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Abstract.

In this paper we find and present on diagrams in the coordinates of η=2t1/t0 (the ratio of the second and the first nearest neighbor hopping integrals) and n (the carrier concentration) the areas of stability for the superconducting spin-singlet s- and d-wave and the spin-triplet p-wave order parameters hatching out during the phase transition from the normal to the superconducting phase. The diagrams are obtained for an anisotropic two-dimensional superconducting system with a relatively wide partially-filled conduction band. We study a tight-binding model with an attractive nearest neighbor interaction with the amplitude V1, and the on-site interaction (with the amplitude V0) taken either as repulsive or attractive. The problem of the coexistence of the s-, p- and d-wave order parameters is addressed and solved for chosen values of the ratio V0/V1. A possible island of stability of the d-wave order parameter in the s-wave order parameter environment for a relatively strong on-site interaction is revealed. The triple points, around which the s-, d-, and p-wave order parameters coexist, are localized on diagrams. It is shown that results of the calculations performed for the two-dimensional tight-binding band model are dissimilar with some obtained within the BCS-type approximation.

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Authors and Affiliations

  1. Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    R. Gonczarek & M. Krzyzosiak

  2. Department of Physics, Beijing Normal University, Beijing, 100875, P.R. China

    M. Krzyzosiak

  3. Faculty of Fundamental Problems of Technology, and Faculty of Computer Science and Management, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    A. Gonczarek

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  1. R. Gonczarek
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  2. M. Krzyzosiak
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  3. A. Gonczarek
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Correspondence to M. Krzyzosiak.

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Gonczarek, R., Krzyzosiak, M. & Gonczarek, A. Islands of stability of the d-wave order parameter in s-wave anisotropic superconductors. Eur. Phys. J. B 61, 299–308 (2008). https://doi.org/10.1140/epjb/e2008-00072-6

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