Advanced Solid State Physics

Electrons

Outline
• Band structure calculations
• Free electrons
• Kronig Penney Model
• One-dimensional potentials
• Empty lattice approximation
• Plane wave method
• Tight binding
• Table of tight binding band structure calculations
• Density functional theory
• Experimental methods
• Ultraviolet photoelectron spectroscopy (UPS)      W
• X-ray photoelectron spectroscopy (XPS)     W
• Angle resolved photoemission spectroscopy (ARPES)     W     3:37 
• Scanning tunneling spectroscopy      W
• Inverse photoemission spectroscopy
• Thermodynamic properties
• Sommerfeld expansion for metals
• Boltzmann approximation for semiconductors and insulators
• Numerical determination of the thermodynamic properties

Reading
Kittel chapter 6: Free electron Fermi gas
Kittel chapter 7: Energy bands
Kittel chapter 8: Semiconductors

Student presentations
• Elektrische Leitfähigkeit von Metallen - Michael Knap, 2008
• Fermi surfaces in 2-D

Resources
• Quantum espresso:an integrated suite of computer codes for electronic-structure calculations and materials modeling at the nanoscale.
• Table summarizing the properties of free fermions
• Table summarizing the results of the Sommerfeld expansion
• Empty lattice approximation
• Andrea Damascelli, Probing the Electronic Structure of Complex Systems by ARPES, Physica Scripta. Vol. T109, 61–74, 2004