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We propose experimental verification and theoretical explanation of magneticanomalies in the complex Fe-contained double perovskite multiferroics likePbFe$_{1/2}$Nb$_{1/2}$O$_3$. The theoretical part is based on our model ofcoexistence of long-range magnetic order and spin glass in the abovesubstances. In our model, the exchange interaction is anisotropic, couplingantiferromagnetically $z$ spin components of Fe$^{3+}$ ions. At the same time,the $xy$ components are coupled by much weaker exchange interaction offerromagnetic sign. In the system with spatial disorder (half of correspondinglattice cites are occupied by spinless Nb$^{5+}$ ions) such frustratinginteraction results in the fact that antiferromagnetic order is formed by $z$projection of the spins, while their $xy$ components contribute to spin glassbehaviour. Our theoretical findings are supported by the experimental evidenceof coexistence of antiferromagnetic and spin glass phases in chemicallydisordered Fe-contained double perovskite multiferroics.

Transversal spin freezing and re-entrant spin glass phase in chemically disordered Fe-contained double perovskite multiferroics