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Based on the Mochizuki-Furukawa model, the cycloidal spin structures of orthorhombic RMnO3 manganite thin films on various magnetic substrates are simulated using Monte Carlo method. It is revealed that the long range cycloidal spin order can be modulated by the film thickness and substrate spin structure. In particular, the ferromagnetic and antiferromagnetic spin orders of the substrate in different orientations have different pinning effects on the cycloidal spin order of the thin film. The simulated results are discussed in terms of the competition between the single-ion anisotropy and spin-orbit coupling. (C) 2012 American Institute of Physics. [doi:10.1063/1.3682079]

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