Topological Condensed Matter Physics

Lecture: Date/room

MO(5) Monday 14:50 HSZ/401/H
FR(4) Friday 13:00 BEY/114/H 

First lecture on Monday, 04.04.2016

Lecturer: Dr. Tobias Meng / Dr. Stephan Rachel

Contents

• Recapitulation: Quantum mechanics, second quantization, and reciprocal space
• Berry Phase
• Quantum Hall effect (Hall conductance, Hofstadter problem, Laughlin's gauge argument)
• Time-Reversal symmetry and Kramers' theorem
• Graphene
• Dirac Hamiltonian and Chern insulators
• Z2 topological insulators in 2D and 3D
• Weyl semi-metals
• Spin liquids (Fractionalization, paradigmatic spin models, phenomenology of spin liquids, Kitaev's honeycomb model)
• Topological superconductors (Kitaev chain, InSb nanowires, and Shiba chain, Majorana zero modes, p+ip superconductor, braiding)
• Selected topics of strongly correlated topological phases

Problem sets

• Problem set 1
• Problem set 2
• Problem set 3
• Problem set 4
• Problem set 5

Literature

• A. Bernevig with T. Hughes - Topological Insulators and Topological Superconductors
• E. Fradkin - Field theories of Condensed matter physics (2nd edition !!)

Contact

In case of questions please do not hesitate to contact us via email:
tobias dot meng at tu-dresden dot de
stephan dot rachel at tu-dresden dot de