Table of Contents

Slides, tutorial sheets and lecture notes are only available for students of the Advanced CMP lecture for personal use as part of their studies. All rights of these materials are reserved. Any commercial use is prohibited.

0. General issues and introduction (slides)

• How to get a certificate
• Tutorials
• What is Condensed Matter Physics?
• What should you have learnt before?
• What may you expect from this lecture?
• Link: Nobel prizes in Physics

1. Elastic properties of solids (slides)

• Formation of solids, chemical bonds (reminder to PEP5)
• Continuum approximation
• Stress tensor
• Strain tensor
• Elasticity tensor
• Young's modulus, bulk modulus, shear modulus, Poisson ratio
• Sound waves in solids
• Nobel prize 1991: de Gennes, liquid crystals etc.

2. Lattice Dynamics (slides)

• Reminder: Phonons (PEP5)
• Reminder: DOS (PEP5)
• Experimental determination of phonon disperion: Inelstatic neutron scattering
• Link: Phonon dispersion database
• Link: Inelastic neutron scattering, ILL, Grenoble
• Link: Noble Prize Physics 1994 (neutron scattering techniques)
• Raman scattering
• Link: Venkata Raman Nobel Prize 1930
• Raman vs. IR spectroscopy
• Brillouin scattering

3. Thermal properties of the crystal lattice (slides)

• Density of states
• Reminder: Heat capacity
• Einstein-Model, Debye-Model
• Heat capacity of 2D materials
• Link: Nobelpreis 1936 Chemie: P. Debye
• Advanced reading: Thermal properties of graphene: Fundamentals and applications (specific heat, heat transport, phonon dispersion of graphene)
• Nobel prize 2010: Graphene
• Thermal expansion
• Advanced reading: Elastic and vibrational internal/free energy: Balcerzac2010
• Grüneisen relation
• Advanced reading: Pressure-Raman effects and vibrational scaling laws in molecular crystals (link)
• Reminder: Phononic heat conductivity
• Matthiessen's rule, phonon-phonon scattering
• Advanced reading: Thermal conducitivity of carbon nanotubes (review on current research results)
• 1D heat transport
• Quantisation of heat conductance
• Link: Schwab et al., Measurement of the quantum of thermal conductance, Nature 2000
• Correction of the formula about the 3ω method and definition of the thermal conductance G₀

4. Simple metals (slides)

• Free electron gas model: short review
• The Sommerfeld approximation: Taylor expansion with fermions
• Specific heat of the free electron gas: Storing energy by conduction electrons
• Pauli-Susceptibility: Magnetism of the free electron gas
• Ferromagnetism, Stoner Model: Why a metal can be a ferromagnet (and what is surprizing about it)?
• Electrical conductivity of metals: motion in k-space!
• Boltzmann transport equation
• 1D metals: Quantized electric transport
• Thermal conductivity of metals
• Wiedemann-Franz-law
• 1D metals: Quantized heat transport
• Advanced reading: Quantized thermal transport in single-atom junctions, Science 2017