Solid State Physics

Informations

Langue d'enseignement : Anglais
Crédits ECTS: 6

Programme

  • Heures d'enseignement dispensées à l'étudiant : 51 heures
  • Temps de travail personnel : 100 heures

Objectifs et compétences

Objectifs :
Goals and competencies

This lecture introduces the physics of the solid state.

The objective of this course is to provide the students with the basics of solid state physics. Prerequisites of statistical physics and quantum theory are required and will be illustrated all along the lectures by means of practical examples.

The main models of electronic structure in periodic systems are exposed (Fermi free electron gas, nearly free electrons perturbation theory, tight-binding model) and illustrated by simple benchmark examples. An introduction to the physics of lattice dynamics is also proposed in a last chapter devoted to the theory of Phonons in solids.

Lessons plan:

A. Lectures:

• Elementary classical and quantum aspects of the free electron theory of metals.

• Electrons in a weak periodic potential: Bloch’s Theorem, perturbation theory applied to periodic potentials, band structure, Fermi surfaces and Brillouin zones, nearly free electrons model.

• General properties of semiconductors.

• The Tight-Binding model, a chemist’s view of bonding in solids.

• Phonons and lattice vibrations: classical and quantum theories of the Harmonic crystals, normal modes, elementary theory of the phonon dispersion relation, electron-phonon interaction.

B. Practicals:

• Computational procedure for the study of periodic systems

• Energy minimization and ground-state properties calculations.

• Structural optimization, Lattice relaxation, minimum energy paths determination for gas-surface interactions.

• Ab-Initio molecular dynamics.

• Calculation of phonon frequencies, electron-phonon interactions, NMR chemical shifts, and spectroscopic properties calculation.

Organisation pédagogique

le mode de fonctionnement de l'UE est présenté au début des enseignements

Contrôle des connaissances

Assessment methods and criteria

1st session examinations (0-20)

Written exam (60% weight of overall mark) at the end of the semester, project evaluation (40% weight of overall mark).

2nd session examinations (0-20)

In case of failures/second session: written exam (60% weight of overall mark) at the end of the semester, project evaluation (recall of the first session mark).

Lectures recommandées

l'ensemble des références bibliographiques est communiqué au début des enseignements

Responsable de l'unité d'enseignement

Cedric Crespos

Enseignants

la composition de l'ensemble de l'équipe pédagogique est communiquée au début des enseignements