[en] It is shown that the complex d_xy component is generated in a d-wave superconductor in the magnetic field. As one enters a superconducting state at the finite field the normal to superconducting transition occurs into the bulk d_x²-y²+id_xy state. The driving force for the transition is the linear coupling between the magnetic field and the nonzero magnetization of the d_x²-y²+id_xy condensate. The external magnetic field violates parity and time-reversal symmetries and the nodal quasiparticle states respond by generating the id_xy component of the order parameter, with the magnitude estimated to be on the order of a few kelvin. Parity (P) and time-reversal (T) symmetries are violated in this state. (c) 2000 The American Physical Society