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Electronic Transport in solids (M2R - C2)

3MR26 Electronic Transport in solids (M2R - C2) Materials and Chemistry S9
Lessons : 15 h TD : 0 h TP : 0 h Project : 0 h Total : 15 h
Co-ordinator : Raymond Fresard
Prerequisite
Electrons in quantum mechanics.
Fermions in statistical mechanics.
Drude-Sommerfeld model.
Course Objectives
The purpose of this lecture is to give the students a good basic culture on the transport coefficients in solids, their properties, and their applications. In particular, we tie experimental and theoretical aspects with the materials synthesized and characterized in the CRISMAT laboratory as backdrop.
Syllabus
Introduction to the experimental measurement techniques of transport coefficients.
Electro-magneto-thermal transport coefficients such as the magnetoresistance, the Hall resistivity and Nernst coefficient and their applications.
Overview of the anisotropy and temperature dependencies of the resistivity in metals. Kubo formulas for the transport coefficients such as the resistivity.
Discussion of the various contributions to the resistivity of metals resulting from a weak scattering of electrons by phonons or other electrons.
The theory of the Fermi liquid and the "DMFT" picture of Mott insulators.
Finally we will introduce and discriminate the concepts of life time and of transport time.
Practical work (TD or TP)
The influence of impurities will be addressed in detail, starting with the regime of low densities of scattering centers and continuing through that of high density of impurities
arranged according to a pair correlation function (structure factor), as realized in liquid and amorphous metals.
Acquired skills
Knowledge of electro-magneto-thermal transport factors.
Knowledge of the various temperature dependences of the resistivity.
Knowledge of Kubo formulas, life time and transport time.
Bibliography
Non renseigné

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