SU(2) ×U(1) Formulation of GINZBURG-LANDAU équations

Abstract

Abstract Spin superconductivity is analogue of conventional charge superconductivity. Here, we derive a framework for describing the SU(2)-U(I) 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.