Goldschmidt tolerance factors in orthoferrites. Inset: Undistorted perovskite elementary cell.
(Color online) The elementary cell of an orthorhombic orthoferrite showing ideal positions of iron (filled black circles), rare-earth ions (filled blue circles), and their spin directions for (C), (B), and (A).
(Color online) The magnetic moment projections (blue circles) and (red circles) of over a wide temperature range. Inset: Behavior of near the compensation point at .
(Color online) The magnetic moment projections (blue circles) and (red circles) in measured in an external field over a wide temperature range. For comparison the values of obtained through the analysis of the hysteresis loops are shown as blue triangles.
(Color online) Magnetization measurements for and . (A)—absolute value of the magnetization (blue circles). Solid curves—theory, Eq. (4). (B)—rotation angle according to Refs. 17 and 18. Due to sample to sample variability (Refs. 10, 13, and 14) temperatures obtained in Refs. 17 and 18 differ from those reported here. To compare the shapes of the curves, the temperature axis was linearly rescaled to match the values of and . (C)—directly measured rotation angle (red circles). The dotted line represents a conventional mean field theory result Eq. (2). Solid curve—modified theory, Eq. (3). Green triangles are the experimental values of from Eqs. (5).
(Color online) Left panel: Absolute value of magnetization, , in the reorientation region for (blue circles). The magnetization was calculated from the components measured through the analysis of hysteresis loops. Solid curves—model Eq. (4). Right panel: Rotation angle of the magnetization (red circles). The dotted line represents a conventional mean field theory result, given by Eq. (2). Solid curve—theory, Eq. (3).
Normalized -scan curves for single-crystal sample: (a) inside the reorientation region at and (b) away from the reorientation region at room temperature.
(Color online) Coercive field near the compensation point, axis.
(Color online) Coercive field near the second order reorientation transition. Full red circles— axis; full blue circles— axis.
Goldschmidt tolerance factors for orthoferrites. , , and the radii of the are taken from Ref. 3.
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