Microscopic Model and Phase Diagrams of the Multiferroic Perovskite Manganites

Details Microscopic Model and Phase Diagrams of the Multiferroic Perovskite Manganites Microscopic Model and Phase Diagrams of the Multiferroic Perovskite Manganites

2009-05-12

arxiv.org/abs/0905.1857v2

Phys. Rev. B 80, 134416 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

23 pages, 19 figures. Recalculated results after correcting errors in the assignment of Dzyaloshinsky-Moriya vectors

Scientific paper

10.1103/PhysRevB.80.134416

Orthorhombically distorted perovskite manganites, RMnO3 with R being a trivalent rare-earth ion, exhibit a variety of magnetic and electric phases including multiferroic (i.e. concurrently magnetic and ferroelectric) phases and fascinating magnetoelectric phenomena. We theoretically study the phase diagram of RMnO3 by constructing a microscopic spin model, which includes not only the superexchange interaction but also the single-ion anisotropy (SIA) and the Dzyaloshinsky-Moriya interaction (DMI). Analysis of this model using the Monte-Carlo method reproduces the experimental phase diagrams as functions of the R-ion radius, which contain two different multiferroic states, i.e. the ab-plane spin cycloid with ferroelectric polarization P//a and the bc-plane spin cycloid with P//c. The orthorhombic lattice distortion or the second-neighbor spin exchanges enhanced by this distortion exquisitely controls the keen competition between these two phases through tuning the SIA and DMI energies. This leads to a lattice-distortion-induced reorientation of P from a to c in agreement with the experiments. We also discuss spin structures in the A-type antiferromagnetic state, those in the cycloidal spin states, origin and nature of the sinusoidal collinear spin state, and many other issues.

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