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In a system where magnetic ions occupy the vertices of edge or corner sharing triangular units, the natural antiferromagnetic coupling between ions is geometrically frustrated. A wide variety of interesting magnetic behaviour has been observed in pyrochlores, where magnetic ions form a network of corner sharing tetrahedra. The low temperature spin dynamics of a number of pyrochlores A2B2O7 have been investigated using the technique of µSR. For example, Y2Mo2O7 shows a transition to a disordered magnetic state similar to a spin glass at TF = 22 K. However, unlike conventional metallic spin glasses, a non-zero muon spin depolarization rate is observed to persist well below 0.1 TF. These results suggest that there is a finite density of states for magnetic excitations in this system near zero energy.Recently, there has been a considerable interest in the behaviour of systems where the natural antiferromagnetic coupling between ions is frustrated by the geometry of the lattice. In three dimensions, the most well studied systems have a pyrochlore structure. Frustrated systems are characterized by a suppression of the ordering temperature T c relative to the Curie-Weiss temperature, θ. Within the mean field theory, T c is given by T c = 2 3 zS(S + 1)k B |J| for both ferromagnets and two sublattice antiferromagnets, where z is the number of nearest neighbours, S the spin and J is the exchange interaction. In a ferromagnetic or unfrustrated antiferromagnetic system, the high temperature susceptibility is then χ = µ 2 B g 2 S(S + 1) 3k B (T − θ) ,© J.C. Baltzer AG, Science Publishers
In a system where magnetic ions occupy the vertices of edge or corner sharing triangular units, the natural antiferromagnetic coupling between ions is geometrically frustrated. A wide variety of interesting magnetic behaviour has been observed in pyrochlores, where magnetic ions form a network of corner sharing tetrahedra. The low temperature spin dynamics of a number of pyrochlores A2B2O7 have been investigated using the technique of µSR. For example, Y2Mo2O7 shows a transition to a disordered magnetic state similar to a spin glass at TF = 22 K. However, unlike conventional metallic spin glasses, a non-zero muon spin depolarization rate is observed to persist well below 0.1 TF. These results suggest that there is a finite density of states for magnetic excitations in this system near zero energy.Recently, there has been a considerable interest in the behaviour of systems where the natural antiferromagnetic coupling between ions is frustrated by the geometry of the lattice. In three dimensions, the most well studied systems have a pyrochlore structure. Frustrated systems are characterized by a suppression of the ordering temperature T c relative to the Curie-Weiss temperature, θ. Within the mean field theory, T c is given by T c = 2 3 zS(S + 1)k B |J| for both ferromagnets and two sublattice antiferromagnets, where z is the number of nearest neighbours, S the spin and J is the exchange interaction. In a ferromagnetic or unfrustrated antiferromagnetic system, the high temperature susceptibility is then χ = µ 2 B g 2 S(S + 1) 3k B (T − θ) ,© J.C. Baltzer AG, Science Publishers
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