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Role of the electron scattering processes in the Hubbard model in the insulator-to-metal transition

✍ Scribed by M. L. Kalra

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
627 KB
Volume
115
Category
Article
ISSN
0370-1972

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✦ Synopsis

Abstract

The role of the spin disorder scattering and dynamical processes in the Hubbard model in the insulator‐to‐metal transition is investigated at finite temperatures. An explicit expression for the dc conductivity is obtained by studying the two particle double time retarded Green function by the equation of motion method. Frequency and temperature dependence of the conductivity is discussed in detail. It is found that the system exhibits a continuous insulator‐to‐metal transition with increasing temperature. The conductivity changes by a considerable factor around transition temperature. The results obtained can be applied to explain the electrical properties of transition metal oxides and other compounds which show the continuous insulator‐to‐metal transition.

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## Abstract The metal–insulator transition (Mott transition) in the Hubbard model for a half‐filled narrow band is considered by means of the functional integral method. The functional integral is calculated in the static approximation. Higher‐order fluctuations in the exponent of the functional in