**Graphene **

**Lecturer: **Prof. dr. M. I. Katsnelson

Room HG03.062, phone 52995

**♦
**30 hours lecture, 30 hours tutorial

**♦
Required knowledge**: Bachelor Courses “Quantum
Mechanics” and “Statistical Physics”

**♦ Goals: **Graphene, a
recently discovered novel allotrope of carbon and the first truly
two-dimensional crystal, is interesting, first, because of possible
applications, second, as a prototype membrane, a testbed for statistical physics
in two dimensions, and, last not least, due to deep and unexpected relations
between properties of graphene and fundamental physics (relativistic quantum
mechanics and quantum field theory). The course covers all these aspects of
graphene physics, illustrating also some geometric and topological aspects of
quantum mechanics.

**♦ Subjects**

**• **Introduction to chemical bonding and electronic structure of carbon
materials. Charge carriers in graphene as massless Dirac
fermions. Electronic structure of bilayer and
multilayer graphene.

**• **Relativistic quantum phenomena in graphene (transport via evanescent
waves, Klein tunneling,

**• **Edges and defects in graphene. Graphene derivates: introduction to
chemistry of graphene.

**• **Lattice dynamics of graphene. Theory of
crystalline membranes and its applications to graphene. Electrons in fluctuating membranes. Deformation-induced
gauge fields. Strain engineering.

**• **Electronic transport in graphene. Magnetic effects
and graphene-based spintronics.

**♦
Literature**

**• **M. I. Katsnelson. Graphene: Carbon in
Two Dimensions (