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$$R$$-dependence of spin exchange interactions in $$R$$MnO$$_{3}$$ ($$R$$ = Rare-Earth Ions)

Kajimoto, Ryoichi  ; Mochizuki, Hidenori*; Yoshizawa, Hideki*; Shintani, Hiroshi*; Kimura, Tsuyoshi*; Tokura, Yoshinori*

Magnon excitations have been investigated for PrMnO$$_{3}$$ showing the $textit{A}$-type antiferromagnetic ordering and TbMnO$$_{3}$$ forming a long-period spin ordering by inelastic neutron scattering. Combined with a result of LaMnO$$_{3}$$ [K.~Hirota $textit{et al.}$], the systematic data revealed that the ferromagnetic exchange interaction between nearest-neighbor (NN) Mn sites within the $$ab$$ plane drastically decreases in $$R$$MnO$$_{3}$$ as the ionic radius of $$R$$ is reduced. In addition, finite next-nearest-neighbor (NNN) coupling is evident in TbMnO$$_{3}$$. In contrast, the exchange interaction along the $$c$$ axis shows much weaker $$R$$ dependence consistent with the Mn-O-Mn bond angle. These observations confirm a scenario that explains the evolution of spin structures in $$R$$MnO$$_{3}$$ in terms of the competition between the NN and NNN interactions [T.Kimura $textit{et al.}$].

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Category:Physics, Multidisciplinary

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