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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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76 Chapter 3<br />

ferromagnet. Instead, it peaks as shown in Figure 3-19 near the compensation<br />

temperature T Comp .<br />

Susceptibility (µ B /T)<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

Calculated Susceptibility of Gd 0.67 Ca 0.33 MnO 3<br />

χ = (M(6T) - M(4T))/2T<br />

0<br />

0 20 40 60 80 100<br />

Temperature (K)<br />

Figure 3-19 High field differential susceptibility for<br />

Gd 0.67 Ca 0.33 MnO 3 calculated using the mean field model. The<br />

maximum is at 11.5 K which is near T Comp = 14.2 K in this<br />

model.<br />

3.3 Heat Capacity<br />

The heat capacity of a sample, particularly at low temperatures, is a<br />

powerful experimental technique which gives fundamental information<br />

about low-lying excitations of many kinds (phonons, electrons, magnons,<br />

etc.). Microscopic models which describe these excitations typically give<br />

quantitative predictions of the specific heat which can then be used to check<br />

the theory. The has been quite successful at low temperatures where the<br />

excitations are simple. At higher temperatures, the dispersion relation of the<br />

excitation spectrum can become less simple and therefore complicate the heat

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