Relationship between ferroelectricity and Dzyaloshinskii-Moriya interaction in multiferroics and the effect of bond-bending

Abstract

We studied the microscopic mechanism of multiferroics, in particular with the "spin current" model (Hosho Katsura, Naoto Nagaosa and Aleander V. Balatsky, Phys. Rev. Lett. 95, 057205 (2005)). Starting from a system with helical spin configuration, we solved for the forms of the electron wave functions and analyzed their characteristics. The relation between ferroelectricity and Dzyaloshinskii-Moriya interaction (I. Dzyaloshinskii, J. Phys. Chem. Solids 4, 241 (1958) and T. Moriya, Phys. Rev. 120, 91 (1960)) is clearly established. There is also a simple relation between the electric polarization and the wave vector of magnetic orders. Finally, we show that the bond-bending exists in transition metal oxides can enhance ferroelectricity.

14 pages, 3 figures. acceptby Physical Review B

References in corpus (11)

• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3
• Distorted Perovskite with e_g^1 Configuration as a Frustrated Spin System
• Ferroelectricity in the Magnetic E-Phase of Orthorhombic Perovskites
• Large Magneto-Dielectric Effects in Orthorhombic HoMnO3 and YMnO3
• Direct transition from a disordered to a multiferroic phase on a triangular lattice
• Bond electronic polarization induced by spin
• Field dependence of magnetic ordering in Kagome-staircase compound Ni3V2O8
• Helicoidal ordering in iron perovskites

Cited by in corpus (11)

• Asymmetric Spin-wave Dispersion on Fe(110): Direct Evidence of Dzyaloshinskii--Moriya Interaction
• First-principles study of improper ferroelectricity in TbMnO3
• Mechanisms and origin of multiferroicity
• Probing of the interfacial Heisenberg and Dzyaloshinskii--Moriya exchange interaction by magnon spectroscopy
• Electromagnon and phonon excitations in multiferroic TbMnO3
• First-principles theory of magnetically induced ferroelectricity in TbMnO3
• Magentically-Induced Lattice Distortions and Ferroelectricity in Magnetoelectric GdMnO3
• Competing exchanges and spin-phonon coupling in Eu1-xRxMnO3 (R=Y,Lu)
• Bond distortion effects and electric orders in spiral multiferroic magnets
• Flexomagnetoelectric Interaction in Cubic, Tetragonal and Orthorhombic Crystals
• Electronic Structure, Optical and Dielectric Spectroscopy Study of TbMnO3