The relation between the condensation energy and the electronic density for the anisotropic superconductivity


Based on the BCS formalism, a comparative study of the condensation energy for the superconductor states with p and d symmetries as a functions of the electronic density (n), was performed in a square lattice described by a generalized Hubbard model, in which the correlated hopping interactions are included in addition of the Coulombians repulsions. The superconductor states p and d were obtained with the corresponding values of first and second neighbors found by first principles [1] in the Sr2RuO4. We found that the superconducting gap can be a order of magnitude higher for d symmetry than p. However, the phase diagrams show the p symmetry like a ground state in some regions of n. We observe that the chemical potential (m) of the superconducting states is located out of the band of one particle which obey to dispersion relation of mean field and, restrictively, we have different values of m for p and d symmetries. In the other hand, when n grows, the respectively chemicals potentials have values very closed between them and almost the same of the Fermi energy corresponding for each value of n. Finally, we found a zone of coexistence for p and d phases in which the corresponding superconductor gap can be different.

[1] I.I. Mazin y D.J. Singh, Phys. Rev. Lett.79, 733 (1997).

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