Condensed Matter Physics-S2

Condensed Matter Physics

Contact: A. GHORAYEB

Content:

I Brief reminder of the free-electron model

Usefulness and failures

II Electrons in crystals : band theory

II.1 Nearly-free electrons

Electron levels in a periodic potential, Bloch’s theorem, crystal momentum, band index, energy bands, Fermi surface

II.2 Tight-binding theory

Linear combination of atomic orbitals, application to bands from s-levels

III Semiconductors

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

IV Magnetic properties

Diamagnetism and paramagnetism, Curie’s law, electron interactions and magnetic structure, magnetic ordering, ferro- and anti-ferro-magnets

V Properties at the nanoscale

Density of states in low-dimensional (2D, 1D, 0D) systems and nanostructures, ballistic transport and quantization of conductance, the Landauer formula, examples of low-dimensional structures

VI Introduction to superconductivity

Critical temperature, critical field, Cooper pairs, the London equation

 

Main textbooks :

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

M. L. Cohen and S. G. Louie, Fundamentals of Condensed Matter Physics, Cambridge University Press, 2016, ISBN 978-0-521-51331-9 (hardback).