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IOP Publishing, Journal of Physics: Condensed Matter, 43(20), p. 434208

DOI: 10.1088/0953-8984/20/43/434208

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Microscopic mechanisms for improper ferroelectricity in multiferroic perovskites: A theoretical review

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This paper is available in a repository.

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Abstract

Two microscopic mechanisms helping us to understand the multiferroic behavior of distorted rare-earth manganites are here briefly reviewed. The original work was carried out by means of Hamiltonian modeling and first-principles density functional simulations. Our first topic concerns the link between the Dzyaloshinskii–Moriya interaction and ferroelectricity in incommensurate magnets. We argue that the Dzyaloshinskii–Moriya interaction may play a key role since (i) it induces ferroelectric displacements of oxygen atoms and (ii) it favors the stabilization of a helical magnetic structure at low temperatures. Our second topic concerns the prediction, based on Landau theory, that the symmetry of the zigzag spin chains in the AFM-E (E-type antiferromagnetic) orthorhombic manganites (such as HoMnO 3) allows a finite polarization along the c axis. The microscopic mechanism at the basis of ferroelectricity is interpreted through a gain in band energy of the e g electrons within the orbitally degenerate double-exchange model. Related Monte Carlo simulations have confirmed that the polarization can be much higher than what is observed in spiral magnetic phases. Density functional calculations performed on orthorhombic HoMnO 3 quantitatively confirm a magnetically induced ferroelectric polarization up to ∼6 μC cm −2 , the largest reported so far for improper magnetic ferroelectrics. We find in HoMnO 3 , in addition to the conventional displacement mechanism, a sizable contribution arising from the purely electronic effect of orbital polarization. The relatively large ferroelectric polarization, present even with centrosymmetric atomic positions, is a clear sign of a magnetism-induced electronic mechanism at play, which is also confirmed by the large displacements of the Wannier function centers with respect to the corresponding ions in AFM-E HoMnO 3 . The final polarization is shown to be the result of competing effects, as shown by the opposite signs of the e g and t 2g contributions to the ferroelectric polarization.