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Exchange-striction associated with the elliptical proper helical magnetic structure in the ferroelectric phase of CuFe$$_{1-y}$$Ga$$_{y}$$O$$_{2}$$

Terada, Noriki*; Nakajima, Taro*; Mitsuda, Setsuo*; Matsuda, Masaaki; Kakurai, Kazuhisa; Tanaka, Yoshihito*; Kitazawa, Hideaki*

Detailed magnetic structure in the ferroelectric phase of CuFe$$_{1-y}$$Ga$$_{y}$$O$$_{2}$$ has been recently determined to be proper helical structure with the ellipcity of $$sim$$ 0.9 by the comprehensive neutron diffraction study. In the present study, we have investigated the lattice modulation associated with the elliptical magnetic structure, using resonant X-ray diffraction measurements on CuFe$$_{0.965}$$Ga$$_{0.035}$$O$$_{2}$$. We observed the superlattice reflection indexed as (0, 1+2$$q$$$$_{rm m}$$, 0), where $$q$$$$_{rm m}$$ is the wave number of the magnetic modulation. The energy spectrum near the Fe-$$K$$ absorption edge for the superlattice peak intensity conforms with that for the fundamental (0, 2, 0) intensity, suggesting that the superlattice modulation is at least associated with the displacements of the Fe ions, The origin of the superlattice modulation is discussed within the exchange-striction model.



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