This note covers the following Topics
includes: Schrodinger Equation, Quantization, Quantization of the
Electromagnetic Field, Photonic Crystals, Phonons, Electrons, Crystal Physics,
Magnetism and Response to Electric and Magnetic Fields, Transport Regimes,
Quasiparticles, Dielectrics and Ferroelectrics, Superconductivity.
Author(s): Michael Mayrhofer-R, Patrick Kraus,
Christoph Heil, Hannes Brandner, Nicola Schlatter, Immanuel Mayrhuber, Stefan
Kirnstötter, Alexander Volk, Gernot Kapper, Reinhold Hetzel
This note
covers Second quantization, Electrons and phonons, Greens
functions and feynman diagrams, Dielectric function and linear response and
Superconductivity.
This note covers Bravais lattice or how to pack a crystal, Symmetry as the guiding principle,
Systematics of crystals symmetry groups, Unpacking the crystal structure, Spaces
of crystallography, Structure factor, Bonding in crystals, Mechanical
properties, Dielectric properties, Phonons and sound, Phonons and light and
phonons and the reciprocal lattice.
This note covers the following topics: Elasticity, fluctuations and
thermodynamics of crystals, thermodynamics of phonons, Hohenberg-Mermin-Wagner
theorem, Ginzburg-Landau theory and Landau's quantum hydrodynamics, Bosonic
matter, Magnetism in charge insulators, Jordan-Wigner transformation and XXZ
chain, Coherent-spin states and Berry phases, Electron liquid, Fermi gas
thermodynamics, Pauli magnetism, Stoner ferromagnetism.
This note explains the
following topics: Crystal structure, X-ray crystallography, Electrons in
crystals, Electrons in a periodic potential, Semiclassical dynamics of Bloch
electrons, Free-electron bands and crystal structure, Cyclotron resonance,
Magnetism, Electrons in a magnetic field, Magnetism of a gas of free electrons,
Ordered magnetic states, Ferromagnetic groundstate and excitations .
This note explains the following topics: Crystal Structure, X-Ray
Diffraction and Reciprocal Lattice, Crystal Binding, Elastic Properties ,
Lattice Vibrations, Thermal Properties, Free-Electron Model,Electron Transport,
Energy Bands, Electron Dynamics and Fermi Surfaces, Methods for Calculating Band
Structure, Semiconductors, Optical Properties of Solids, Dielectric Properties
of Insulators, Magnetic Properties.
This note covers the following
topics: The electronic structure: tight-binding method and nearly
free-electron model, Comparison of results for tight-binding and nearly-free
electron model, Formalization: Bloch theorem, Phonons in one dimension,
Periodicity, Effect of a basis on the electronic structure, Crystal structures,
The reciprocal lattice, Tight-binding in two dimensions, Optical spectroscopy,
Quantum-mechanical treatment of optical spectroscopy, Relation to absorption,
Thomas-Fermi screening, Ferromagnetism, Antiferromagnetism, Electron-phonon
interaction, Transition temperature, Ginzburg-Landau theory, Flux quantization
and the Josephson effect.
This
note explains the following topics: The solid as quantum system, The homogeneous
electron gas, Lattices and crystals, Electrons in a periodic potential, Lattice
dynamics, Electron Dynamics, Magnetism, Superconductivity, Theory of scattering
from crystals.