Double-exchange model study of multiferroic $R$MnO${}_3$ perovskites

Abstract

In this proceeding, recent theoretical investigations by the authors on the multiferroic $R$MnO${}_3$ perovskites are briefly reviewed at first. Using the double-exchange model, the realistic spiral spin order in undoped manganites such as TbMnO${}_3$ and DyMnO${}_3$ is well reproduced by incorporating a weak next-nearest neighbor superexchange ($\sim 10$ of nearest neighbor superexchange) and moderate Jahn-Teller distortion. The phase transitions from the A-type antiferromagnet (as in LaMnO${}_3$), to the spiral phase (as in TbMnO${}_3$), and finally to the E-type antiferromagnet (as in HoMnO${}_3$), with decreasing size of the $R$ ions, were also explained. Moreover, new results of phase diagram of the three-dimensional lattice are also included. The ferromagnetic tendency recently discovered in the LaMnO${}_3$ and TbMnO${}_3$ thin films is explained by considering the substrate stress. Finally, the relationship between our double-exchange model and a previously used $J_1$-$J_2$-$J_3$ model is further discussed from the perspective of spin wave excitations.

6 pages, 3 figures; Proceeding of the Workshop on Magnetoelectric Interaction Phenomena in Crystals (MEIPIC-6); To be appeared in European Physical Journal B

References in corpus (16)

• Spin current and magneto-electric effect in non-collinear magnets
• Multiferroicity, The coupling between magnetic and polarization
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Ferroelectricity in the Magnetic E-Phase of Orthorhombic Perovskites
• Dual nature of improper ferroelectricity in a magnetoelectric multiferroic
• Dynamical magneto-electric coupling in helical magnets
• Collinear-to-Spiral Spin Transformation without Changing Modulation Wavelength upon Ferroelectric Transition in Tb1-xDyxMnO3
• Spin-Orbit Coupling and Ion Displacements in Multiferroic TbMnO3
• Origin of electromagnon excitations in \textit{R}MnO${}_3$
• Origin of the multiferroic spiral spin-order in the RMnO3 perovskites
• Orbital ordering phenomena in $d$- and $f$-electron systems
• Magnetically-induced ferroelectricity in orthorhombic manganites: microscopic origin and chemical trends
• Metal-insulator transition in $(LaMn{O}_3{)}_{2n}/(SrMn{O}_3{)}_n$ superlattices
• Pressure induced enhancement of ferroelectricity in multiferroic $R$Mn${}_2$O${}_5$($R$=Tb,Dy, and Ho)
• Ferromagnetism and increased ionicity in epitaxially grown TbMnO3 films
• Anomalous Ferromagnetism in TbMnO3 Thin Films

Cited by in corpus (8)

• Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
• Recent Progress of Multiferroic Perovskite Manganites
• Combined first-principles and model Hamiltonian study of the perovskite series RMnO3 (R = La, Pr, Nd, Sm, Eu and Gd)
• Topological solitons and bulk polarization switch in collinear type II multiferroics
• Microscopic model for magneto-electric coupling through lattice distortions
• Simple microscopic model for magneto-electric coupling in type-II antiferromagnetic multiferroics
• Double frustration and magneto-electro-elastic excitations in collinear multiferroic materials
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model