Spin-charge ordering induced by magnetic field in superconducting state: Analytical self-consistent solution in the two-dimensional model

A first-order phase transition is predicted between a spatially homogeneous superconducting state and a state with a space-modulated composite spin-charge-superconducting order parameter in an applied external magnetic field. In this state the superconducting order changes sign when entering the “stripe-phase” ordered domain. Corresponding self-consistent solutions of the Bogoliubov-de Gennes equations are found in an analytic form for the two-dimensional Hubbard t\text-U\text-V model with d_x^2-y^2 symmetry of the superconducting order parameter in an external magnetic field.