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Field induced $d_{x^2-y^2}+id_{xy}$ state and marginal stability of high-Tc superconductors

A. V. Balatsky
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Abstract

It is shown that the {\em 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 $d_{x^2-y^2}+i d_{xy}$ state . The driving force for the transition is the linear coupling between magnetic field and non zero magnetization of the $d_{x^2-y^2}+i d_{xy}$ 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 few Kelvin. Parity (P) and time reversal (T) symmetries are violated in this state.

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A. V. Balatsky. 1999-03-17. Field induced $d_{x^2-y^2}+id_{xy}$ state and marginal stability of high-Tc superconductors. https://doi.org/10.1103/physrevb.61.6940

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