Condensed Matter Physics-S2

Condensed Matter Physics

Contact: A. GHORAYEB


I The free-electron model
I.1  The Drude theory of metals
Mean free path, relaxation time, electrical conductivity, thermal conductivity,
Hall effect, Wiedemann-Franz law

I.2  The Sommerfeld theory of metals
Starting assumptions and boundary conditions, density of states,
Fermi momentum, energy, temperature, ground-state energy,
Fermi-Dirac distribution, electronic specific heat,
electrical conductivity, thermal conductivity, Wiedemann-Franz law revisited

I.3  Failures of the free-electron model


II Elements of crystallography
II.1  Crystal lattices
Bravais lattice and primitive vectors, primitive unit cell, Wigner-Seitz cell,
crystal structures and lattices with bases

II.2  Determination of crystal structures by X-ray diffraction
Reciprocal lattice, structure factor, Bragg and von Laue formulations of X-ray
diffraction by a crystal, Brillouin zones


III Electrons in crystals : band theory
III.1  Nearly-free electrons
Electron levels in a periodic potential, Bloch’s theorem,
crystal momentum, band index, energy bands, Fermi surface

III.2  Tight-binding theory
Linear combination of atomic orbitals, application to bands from s-levels


IV Phonons
One-dimensional atomic chains, acoustic and optical phonons, density of
modes, lattice specific heat : the Debye model


V Semiconductors
Homogeneous semiconductors in thermal equilibrium, examples of
semiconductor band structure, intrinsic and extrinsic semiconductors,
impurity levels, p-n junction in equilibrium


VI Introduction to superconductivity
Critical temperature, critical field, Cooper pairs, the London equation


Main textbook:
N. W. Ashcroft and N. D. Mermin, Solid State Physics, Saunders College Publishing, 1976,
ISBN 0-03-049346-3 (international edition).