We propose an effective theory of superconductivity based on a microscopic theory of the T- and P-breaking spin-liquid state. There are two independent gauge invariances broken by two separate condensates. The theory may be useful for phenomenological calculations. In particular, we find that Hc1 are different for magnetic fields with opposite orientations. We also find that the polarization of an electromagnetic wave is rotated after reflection from these T- and P-breaking superconductors.
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Wen et al. (1989) studied this question.
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