Spin superconductivity is analogue of conventional charge superconductivity. Here, we derive a framework for describing the SU(2)×U(1) breaking symmetry in Ginzburg-Landau equations. We have found that it is not possible to directly insert or change an abelian electromagnetic potential with a non-abelian other one. The existence of the temporal components in the expression of breaking symmetry potential constant, indicates that the critical temperature can be controlled by applying an electric potential.
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