Vortex lines in the high-Tc superconductivity in presence of lattice distortions
We investigate the superconducting states of the high-Tc superconductors which we argue to be commensurately locked by the tilted rigid octahedral distortion. The method is based on the analysis of the kinematics of the rigid-octahedra lattice model. The distortion modes cause the competing superconducting state of the "s" and "d" type symmetry. The vortex structure of the competing orders is analysed on the ground of the Ginzburg-Landau model.