M A Shahzamanian - Department of Physics, Faculty of sciences, University of Isfahan, ۸۱۷۴۴ Isfahan, Iran
H Yavary - Khonsar Mathematics Faculty, University of Isfahan, Isfahan, Iran, ۸۱۷۴۴
H Rabbani - Department of Physics, Faculty of sciences, University of Isfahan, ۸۱۷۴۴ Isfahan, Iran
S Darvishi - Department of Physics, Faculty of sciences, University of Isfahan, ۸۱۷۴۴ Isfahan, Iran

The London free-energy is regeneralized by the Ginsburg-Landau free-energy density in the presence of both d and s order parameters. We have shown that the strength of the s-d coupling, E , makes an important rule to determine the form of the lattice vortex. Appearance of the ratios of the coherence length to penetration depth in the higher order corrections of the free-energy density will truncate these corrections for even large values of E .

superconductivity, vortex lattice, free-energy