Bf.36 Electronic Structure and Optical Properties

Bf.36 Electronic Structure and Optical Properties


Contents

This intermediate-level course in solid state physics implies that the student has acquired a basic knowledge of condensed matter physics, for example as given in the course Af.8 (like in C. Kittel's textbook), where concepts like reciprocal space, Brillouin zones, phonons, free-electron model, x-ray diffraction a.o. are introduced. The present course will in particular describe electronic states in solids and optical properties. The theory is presented by using relatively simple models, and various examples will be discussed. A brief overview is given below in terms of key-words.
  • The Schrödinger equation for many electrons.
    Born-Oppenheimer approximation. Hartree- og Hartree-Fock approksimations. Hartree-Fock-Slater, Slater-Xalpha. Density functional theory. Screening.

 

  • Electron states in crystals.
    Band structures, metals, insulators, semiconductors. Tight-binding models. Examples: Linear chain, simpel cubic model, semiconductor (model-Si), surface states. Presentation of realistic band structures of semiconductors and metals.

 

  • Optical properties.
    Dielectric function, epsilon(omega). Kramers-Kronig relations. Intra- and interband transitions. Excitons. Photoelectron spectroscopy (XPS, UPS). Non-linear optical properties.

 

  • Low-dimensional structures.
    Quantum wells, -wires, -dots. Graphite, nanotubes, clusters.

Text-books
M. Dressel and G. Grüner: "Electrodynamics of Solds", Optical Propries of Electrons in Matter", Cambridge University Press, Cambridge UK, (2002) and notes.

Evaluation and grading system
Interviews or evaluation of homework. Passed/failed.

Lecturer
Niels Egede Christensen.

ECTS credits
5.

Quarter
1st and 2nd quarter, autumn 2003.