Abstract
The mechanism of the electrical conduction in semiconducting transition metal oxides is still subject to controversial discussion. One possible interpretation of the experiments is based on the concept of the small polaron. In this article the results of the small polaron theory are compared with the experimental data in order to make clear which experiments support the theory, which experiments are compatible with it and which are not.
In section 2–4 a rather simple version of the basic concepts and results of the small polaron theory is presented. In section 5 experimental methods for the study of transport processes are described. In section 6 experimental data for the transport properties of various oxides are discussed from the point of view of their relevance for the small polaron problem.
In section 7 a more detailed version of the small polaron theory is given, and the range of applicability of the approximations leading to tractable expressions is stressed. Particular emphasis is placed on the optical properties.
In section 8, experimental results on the optical properties are compared with the theoretical expressions of sect. 7 and a good agreement is found. Furthermore, in cases where optical and d.c. data are available for one substance, these are consistent from the theoretical point of view. One can summarize as follows:
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1.
the optical properties of perovskites can be explained by the small polaron theory. Until now, no alternative explanation has been offered.
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2.
Many alternative explanations have been offered in the literature for the transport properties. Optical measurements in the near infrared are highly desirable for those substances whose conduction mechanism is doubtful. This applies in particular for nickeloxide.
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Gerthsen, P., Kauer, E., Reik, H.G. (1966). Halbleitung einiger Übergangsmetalloxide im Polaronenbild. In: Sauter, F. (eds) Festkörperprobleme V. Advances in Solid State Physics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0119271
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DOI: https://doi.org/10.1007/BFb0119271
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