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  Continuum models in solid state physics

Lecturers
Sam Shallcross, Ph.D., Prof. Dr. Oleg Pankratov

Details
Vorlesung
2 cred.h, ECTS studies, ECTS credits: 5, Sprache Englisch
Time and place: Mon 14:00 - 16:00, SR 02.779

Fields of study
WF Ph-BA ab 5
WF Ph-MA ab 1
WF PhM-BA ab 5
WF PhM-MA ab 1

ECTS information:
Credits: 5

Contents
In many situations in solid state physics the motion of electrons in materials may be described by effective Hamiltonians that differ profoundly from the fundamental Schroedinger (or Dirac) equations that govern electrons in matter. A very well known example of this is the Dirac-Weyl equation that describes massless neutrinos, but also governs the low energy quasi-particles of graphene, a two dimensional honeycomb lattice of carbon. This course will discuss several methods by which such effective Hamiltonians may be derived, and consider several situations in which they have proven to be useful. These will range from topics of now mostly historical interest - for example the low energy theory of semi-conductors - to subjects of current active research, in particular topological insulators and the low dimensional carbon family of materials (graphene and the graphyne family).
Methodologies covered in course: k.p theory, method of invariants, M theory, many body theory, time dependent density functional theory.
Examples covered in the course: graphene and bilayer graphene, the graphyne family of low dimensional carbon materials, SnTe as an example of a topological insulator, Silicon and strained Silicon, structural deformations in few layer graphene in particular partial dislocations, theory of strain in graphene.
Exam: 30 minute oral exam. 5 credit points.

Additional information
Expected participants: 16

Assigned lectures
UE: Continuum models in solid state physics
Lecturers: Sam Shallcross, Ph.D., Prof. Dr. Oleg Pankratov
Time and place: Thu 10:00 - 13:00, SR 02.779

Verwendung in folgenden UnivIS-Modulen
Startsemester WS 2015/2016:
Physikalisches Wahlfach: Continuum models in solid state physics (PW)

Department: Chair of Solid State Theory
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