MAGNETISM ELECTRON TRANSPORT MAGNETORESISTIVE LANTHANUM CALCIUM MANGANITE
MAGNETISM ELECTRON TRANSPORT MAGNETORESISTIVE LANTHANUM CALCIUM MANGANITE
MAGNETISM ELECTRON TRANSPORT MAGNETORESISTIVE LANTHANUM CALCIUM MANGANITE
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Local Structure and Magnetism in Gd 0.67 Ca 0.33 MnO 3<br />
that expected from the trend found in the manganese ferromagnetic ordering<br />
temperature as a function of the average of the R and A atom sizes in<br />
R 1-x A x MnO 3 [100], it is assumed for now that the Mn-Mn interaction in<br />
Gd 0.67 Ca 0.33 MnO 3 is ferromagnetic. The ferrimagnetism must then arise from<br />
a weaker, antiferromagnetic Mn-Gd interaction. Thus, unlike the ferrites,<br />
where the dominant interaction is antiferromagnetic between the two<br />
transition metal sublattices, the strongest magnetic coupling in<br />
Gd 0.67 Ca 0.33 MnO 3 is ferromagnetic, much like that found in the rare earth<br />
cobaltites, e. g. GdCo 5 [142].<br />
The above description of the magnetization can be bolstered using a<br />
simple molecular or mean field model described in section 3.2.2.4. Assuming<br />
that all atoms on each sublattice (Mn or Gd) feel the same mean field, there<br />
are only two unknown mean field coefficients due to the Mn-Mn and Mn-Gd<br />
interactions. These two coefficients are easily determined since they are<br />
nearly proportional to T C and T Comp , respectively. This molecular field model<br />
(Figure 5-5) reproduces the qualitative features described above.<br />
The calculated magnetization and inverse susceptibility for the molecular<br />
field model described below is shown in Figure 5-5.<br />
This model is limited by the obvious simplifications: not only are there<br />
two distinct types of Mn atoms (Mn 3+ and Mn 4+ ), but there are numerous<br />
possible configurations for the number and type of near neighbors due to the<br />
randomness on the Mn and Gd/Ca sites. The discrepancy among the various<br />
values of T C determined by the three methods mentioned is an example of<br />
non-mean-field ferromagnetic behavior. The discrepancies in the salient<br />
features discussed above may result from the simplifications of the model,<br />
and the assumptions behind it.<br />
5. 1. 5. 2 Canted antiferromagnetism<br />
The evidence concerning the magnetic structure of the manganese in the<br />
ferromagnetic insulator phase points to a canted antiferromagnetic structure<br />
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