The beauty of solid state physics is revealed in emergent phenomena: properties of the many-body state which surpass the properties of the individual constituents, i.e. those of the bare electrons and ions. A plethora of different phases with interesting structures and dynamics, which are of fundamental interest on their own and are relevant for current and future technological applications, waits yet to be explained. This lecture on advanced solid state physics is aimed at taking you from some general basic concepts you have already seen before to developing an idea of the research level of the field.
Essentially, the contents of the lecture can be boiled down to a single question: “What happens if we expose a single-crystalline material to external electric and magnetic fields?” As you will see, there is a rich variety of answers to this by far non-trivial question which will guide us to discuss:
- electronic transport: from charge carrier dynamics in applied electromagnetic fields to Hall effects,
- dielectric properties of solids: from macroscopic permittivity to microscopic models of ferroelectricity,
- magnetism: from individual magnetic ions to magnetic order and collective magnetic excitations.