Abstract

It is shown that the complex d xy component is generated in d-wave superconductor in the magnetic field. As one enters superconducting state at finite field, the normal to superconducting transition occurs into bulk d x 2− y 2 + id xy (d+ id′) state. The driving force for the transition is the linear coupling between magnetic field and non-zero magnetization of the d+ id′ 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 Kelvins. Parity ( P) and time reversal ( T) symmetries are violated in this state.

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