Abstract
A thermoelectric effect finds versatile applications in technologies for energy issues and sustained efforts have been made to explore higher-performance thermoelectric materials. In particular, transition-metal oxides with strong electron correlation have attracted much attention as the promising candidates. One possible important factor for the enhanced thermopower is suggested to be the configurational entropy term as represented in Heikes formula. However, it is still under debate whether the entropy term becomes dominant at merely a few or several hundred kelvin. In this chapter, we report a systematic investigation on the high-temperature thermoelectric response in a typical filling-control Mott transition system La\(_{1-\mathrm{{x}}}\)Sr\(_{\mathrm{{x}}}\)VO\(_{3}\). In the vicinity of the Mott transition, incoherent charge transport appears with increasing temperature and the thermopower undergoes two essential crossovers, asymptotically approaching the two Heikes-formula limit values. We show that the thermopower in the Mott critical state mainly measures the entropy per charge carrier that depends on electronic degrees of freedom. Our findings verify that the Heikes formula is indeed applicable to the real correlated electron-systems at practical temperatures (T > 200 K).
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Notes
- 1.
These phase transitions themselves are irrelevant to the thermopower crossovers discussed in the following section, observed at about \({\sim }200\) K over a wide doping range (\(0.14<x<0.30\)).
- 2.
In reality, also the effective electron correlation strength and the detailed electronic structure change with doping in the filling-control Mott transition systems, and then its variation may affect more detailed thermopower behaviors. For example, below \(x=0.16\) the asymptotical approach to \(S_2\) seems to appear from lower temperature region, which cannot be reproduced by the following simple model calculation. Advanced calculation based on the real electronic structure including the multi-orbital feature may explain such detailed behaviors.
- 3.
In the strong correlation limit where \(U/W\) approaches infinity, the Seebeck coefficient does not show the next asymptotic approach to the other limit value \(S_2\). Thermopower behaviors close to this situation can be confirmed in the doping variation of the thermopower calculated for \(U/W = 4.0\) as shown in Fig. 3.3.
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Uchida, M. (2013). Charge Dynamics and Thermoelectricity in a Typical System. In: Spectroscopic Study on Charge-Spin-Orbital Coupled Phenomena in Mott-Transition Oxides. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54297-1_3
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