# David Tong: Lectures on Solid State Physics

This is an introduction to solid state physics. It covers the basics of band structure, Fermi surfaces, phonons, and particles in magnetic fields. Please do email me if you find any typos or mistakes.

PostScript
PDF

Cambridge students: This material is contained as part of the lectures on
Applications of Quantum Mechanics.

# Content

**1. Particles in Magnetic Fields: PDF**

Gauge field, gauge transformation; Landau levels, degeneracy; Aharonov-Bohm effect; Magnetic monopoles, Dirac quantisation; Spin in a magnetic field, spin precession.**2. Band Structure: PDF**

Electrons in one dimension, tight-binding, nearly free electrons, Floquet matrix, Bloch's theorem; Bravais lattices, cubic, BCC and FCC, the Wigner-Seitz cell, the reciprocal lattice, the Brillouin zone; band structure, crystal momentum, crystallographic notation, nearly free electrons in 3d, tight-binding in 3d; Wannier functions, localised and extended stats, LCAO**3. Electron Dynamics in Solids: PDF**

Fermi surfaces, metals vs insulators, graphene; Bloch electrons; effective velocity and mass, semi-classical equations of motion, Bloch oscillations, holes, Drude model; magnetic fields, cyclotron frequency, Onsager quantisation, de Haas-van Alphen oscillations.**4. Phonons: PDF**

Monotonic chain; diatomic chain, optical and accoustic bands, Peierls instability; Quantization; Field theory.

# Problem Sheets

(for the Applications of Quantum Mechanics course.)

**Problem Sheet 1: Postscript PDF**Scattering**Problem Sheet 2: Postscript PDF**Variational Method, 1d Band Structure**Problem Sheet 3: Postscript PDF**3d Band Structure; Fermi Surfaces**Problem Sheet 4: Postscript PDF**Phonons; Particles in a Magnetic Field

# Solid State Physics on the Web

**Advanced Quantum Mechanics**by Ben Simons in TCM, Cambridge**Solid State Physics**by Steve Simon at Oxford**Solid State Theory**by Manfred Sigrist at ETH, Zurich