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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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Critical Transport and Magnetization of La 0.67 Ca 0.33 MnO 3<br />

values for β reported here are more uncertain than those reported for other<br />

materials.<br />

M 0 (µ B /Mn)<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

ln(M)<br />

1.0<br />

0.5<br />

0.0<br />

-0.5<br />

M ∝ (Tc-T) β<br />

β = 0.30<br />

-1.0<br />

-2 -1 0 1 2 3 4 5<br />

ln(262.2-T)<br />

0.0<br />

190 200 210 220 230 240 250 260 270<br />

Temperature (K)<br />

Figure 7-3. Saturation Magnetization, M 0 as a function of<br />

temperature for La 0.67 Ca 0.33 MnO 3 crystal. At each temperature,<br />

the value shown is M extrapolated to H = 0 as given by the<br />

intercept in Figure 7-1.Solid line is fit to M 0 (T) ∝ (1 - T/T C ) β<br />

with β = 0.30.<br />

Typical experimental values for the critical exponent β in Fe, Ni and YIG<br />

[92] are 0.37 ± 0.02, which are near the theoretical values (Ising β = 0.33,<br />

Heisenberg β = 0.36). The related metallic ferromagnets SrRuO 3 (Appendix A)<br />

and La 0.5 Sr 0.5 CoO 3 [92] have β ≈ 0.36 and β = 0.361 respectively. Previous<br />

magnetic data [166, 167] on La 0.67 Ca 0.33 MnO 3 have been fit with such values of<br />

β, suggesting that the critical region has been reached. For example, muon-<br />

133

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