5.00 credits
37.5 h + 22.5 h
Q2
Teacher(s)
Language
French
Prerequisites
LMAPR1491, LMAPR1805
The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
Main themes
This course presents the basics of material physics (particularly periodic solids). The covered topics include: the basics of crystallography and diffraction, electronic band structures and its simple models, lattice vibrations and anharmonic effects, distinction between metals and semiconductors, basics of magnetism (particularly ferromagnetism), charge and heat transport phenomena.
Learning outcomes
At the end of this learning unit, the student is able to :  
1 
Contribution of the course to the program objectives

Content

Geometrical crystallography
(point lattice; lattice systems ; lattice symmetry ; point symmetry ; space symmetry ; lattice plane ; reciprocal lattice ; Brillouin zone) 
Structural crystallography
(binding strength ; raregas crystals ; ionic crystals ; covalent crystals ; metallic crystals ; hydrogenbonded crystals)  Basics of Xray crystallography

BornOppenheimer approximation and independent electron approximation
(splitting of the dynamics of nuclei and electrons, screening, exchange and correlation effects) 
Periodic potential and band structure.
(review of crystallography and symmetry, reciprocal space, Brillouin zone, Bloch theorem, density of states, Fermi surface, metals, insulators) 
Nearlyfree electron approximation
(BornVon Karman method, folding of the free electron parabola in the first Brillouin zone, Bragg reflections, gap opening, sodium, magnesium, aluminum) 
Tightbinding approximation
(monoatomic linear chain, sp bonding in semiconductors and carbon compounds, d bonding in transition metals, ionic compounds) 
Thermal properties of solids
(harmonic approximation; normal modes of vibration ; monoatomic and diatomic chains ; acoustic and optic modes; transverse and longitudinal modes ; the concept of phonons; examples of phonon band structures for different solids ; lattice specific heat ; anharmonic effects ; thermal expansion ; lattice thermal conductivity) 
Dynamics of electrons in the periodic solid
(equations of motion ; electric and magnetic field effects ; effective mass ; currents in bands : electrons and holes) 
The free electron gas
(occupation of states ; Fermi energy ; influence of temperature ; electronic specific heat) 
Semiconductors
(band structure; computation of electron and hole densities ; doping and impurity levels ; semiconductor devices : pn junction, LED, transistor) 
Transport phenomena in metals
(electric conductivity ; electronphonon collisions ; Hall effect and magnetoresistance ; electronic thermal conductivity) 
Magnetic properties
(introduction and overview of magnetic properties ; paramagnetism of the free electron gas ; band model of ferromagnetism ; magnetic anisotropies ; hysteretic cycles) 
Superconductivity
(introduction : experimental characteristics and theoretical approaches)
Teaching methods
Exercice sessions are proposed in parallel to the excathedra lectures, allowing the student to apply the theoretical concepts presented during the lectures, and to allow them to develop associated competences. A written homework is also requested to the students as well as the correction of the homework of other students.
Evaluation methods
The students individually undergo a written evaluation (homework and written examination) on the basis of the abovementioned learning outcomes. The final mark is obtained as the weighted sum of the results obtained for the "project" part (homework and correction) which amounts to 1/3 of the total, and for the written examination for which amounts to 2/3 of the total. For the August session, the "project" part is replace by a written examination.
Online resources
Bibliography
Quelques livres sont disponibles à la BST.
Teaching materials
 Cours magistraux : les documents du cours (slides, énoncés des séances d'exercices, syllabus) sont disponibles sur icampus.
Faculty or entity