Abstract
We have introduced the hole-induced magnetic soliton by using the gauge-invariant Lagrangian density and the path-integral method. The percolation-like dynamics of hole-induced magnetic solitons and the colossal magnetoresistance mechanism in doped manganites have been proposed from the standpoint of the random resistor network and percolation-scaling method. The long-relaxation behaviour of the spin has been discussed by using the effective Hamiltonian and the frustration-limited domain model.
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