Solitons in the theory of the superconducting phase in compounds of rare earth metals

The theory of Yang–Mills gauge fields is used to construct a dynamical theory of the occurrence of the superconducting phase on the phase transition from the paramagnetie to the superconducting phase in compounds of rare earth metals. The nonequilibrium pairing current of conduction electrons which arises when an unstable topological magnetic soliton is destroyed is calculated. The obtained results describe how the superconducting phase arises in compounds of the type $\operatorname{Er}_{1-x}\operatorname{H}_{0x}\operatorname{Rh}_4 \operatorname{B}_4$.