, FUNDAMENTALS OF (MULTI-)FERROICS
,
Temperature dependence of the order parameter (a) Q and (b) P and (c) the electric susceptibility ? for improper ferroelectrics ,
, Temperature dependence of the order parameter (a) Q and (b) P and (c) the electric susceptibility ? for pseudo-proper ferroelectrics
Crystal structure of orthorhombic RM O 3 with P bnm space group and its cubic prototype, visualized by VESTA [14] ,
Conventional collinear spin orders in P bnm unit cell, p.11 ,
Experimentally obtained magnetoelectric phase diagram of RMnO 3 and solid-solution systems in the plane of temperature and (effective) ionic radius of the R ion [15] ,
Magnetic and dielectric anomalies of TbMnO 3 ,
Three types of spin density wave from expression (1.38) ,
, Unit cell of two kinds E-AFM order in P bnm space group, p.19
,
B-site) are shown. J ab and J c are the in-plane and out-of-plane nearest interactions, while J a is the in-plane next-nearest interaction, Schematic diagram of exchange interactions in P bnm lattice, for simplicity, only magnetic atoms ,
, Dzyaloshinsky-Moriya interactions associated with different Mn-O-Mn bonds, Mn is in blue and O is in red, the A-site ions are neglected for simplicity, p.25
15 (a) Phase diagram and (b) the corresponding ground states UUDD and (?, 0) (0, ?) ,
Magnetic and electric phase diagram of (a) the (010)-oriented and (b) the (001)-oriented TbMnO 3 thin film as well as (c) the (010)-oriented and (d) the (001)-oriented EuMnO 3 thin film ,
Non-collinear spin-canted order ,
, Néel and spin-reorientation temperatures for the Fe spin order in RFeO 3 perovskites. Filled circles, open circles and squares indicate the establishment of spin order G x A y F z , F x C y G z and A x G y C z respectively, p.90
, , p.92
, Atom magnetization as a function of temperature for GdFeO 3 , magnetization of Fe is labeled by red line, while that of Gd is by blue line, p.94
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