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Thesis High-Resolution Photoemission Study of Kondo Insulators ...

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104 Chapter 7. Temperature and Co-Substitution Dependence <strong>of</strong> the ...<br />

lowest panel <strong>of</strong> Fig. 7.6. 1 The spectral DOS thus obtained for FeSi and Fe1−xCoxSi<br />

are shown in Fig. 7.6. One can see that the energy range where the DOS vary with<br />

temperature is between EF and ∼ 50 meV below it, consistent with the data taken<br />

at room temperature and ∼10 K reported by Breuer et al. [7.8] The size <strong>of</strong> this wide<br />

dip or “pseudogap” is almost independent <strong>of</strong> the Co content. The pseudogap is wide<br />

enough compared with the instrumental resolution and therefore the present approach<br />

<strong>of</strong> dividing the spectra with the Fermi-Dirac distribution function is valid to discuss<br />

this structure. From the present PES spectra, however, one cannot conclude where the<br />

missing spectral weight in the pseudogap region is transferred. Here, it should also be<br />

noted that spectral weight around EF remains substantially high at all temperatures,<br />

contrasted with the optical conductivity data, in which almost all the spectral weight<br />

is depleted below ∼−60 meV at low temperatures. Comparing the data from single<br />

crystals and polycrystals, Breuer et al. [7.8] proposed that the surface might be metallic<br />

and contribute the observed spectral weight at and around EF .<br />

In Fig. 7.6 we note that the recovery <strong>of</strong> the DOS with temperature and with Co<br />

substitution is dependent on the energy position: we show in Fig. 7.7 the temperature<br />

dependence <strong>of</strong> the DOS at EF and 30 meV below it. Plotted are the intensities relative<br />

to the values at room temperature. The DOS at EF <strong>of</strong> pure FeSi increases with temperature<br />

more rapidly than those <strong>of</strong> Co-substituted samples. On the other hand, such<br />

a difference between the pure and Co-substituted samples is absent at −30 meV. This<br />

has already been suggested in Fig. 7.4, which shows that the Co substitution affects<br />

mainly the vicinity <strong>of</strong> EF . Here, we note that the recovery <strong>of</strong> the spectral function both<br />

at EF and 30 meV below it starts between 225 K and 150 K, low enough temperatures<br />

compared with the gap size. This is consistent with the temperature dependence <strong>of</strong><br />

the optical conductivity, where the gap feature disappears above ∼ 200 K. The bottom<br />

panel <strong>of</strong> Fig. 7.7 shows the dc conductivity <strong>of</strong> the samples studied here normalized to<br />

the values at room temperature. (The room-temperature conductivity <strong>of</strong> pure FeSi is<br />

∼ 75 % <strong>of</strong> those <strong>of</strong> the x = 0.05 and x = 0.10 samples.) Like the DOS at EF , the<br />

dc conductivity depends on Co content mainly below ∼ 200 K. Thus we can state<br />

1 On the other hand, one cannot discuss sharp structures compared with the energy resolution from<br />

these DOS thus obtained although sharp structures sometimes appear as spurious features. We have<br />

made extensive simulations for various DOS line shapes and temperatures in order to see to what<br />

extent the present method is reliable in extracting the original DOS. Figure 7.6 indicates temperaturedependent<br />

spectral changes in the wide energy range but from this figure alone one cannot exclude the<br />

possibility that a sharp gap compared with the energy resolution is opened near EF .

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