Topology and New Kinds of Order in Condensed Matter Physics (PH2246)
Summer 2017 

Frank Pollmann

Lectures (Theory seminar room):
Monday 10:00 - 12:00
Wednesday 10:00 - 12:00 


(1) Landau Theory, Kosterlitz Thouless transition [PDF] 
(2) Quantum Phases of matter, second quantization, quantum-Ising model [PDF]

Quantum Hall Effect 
(3) Phenomenology, Disorder, Laughlin’s argument, Berry Phase, TKKN  [PDF]

Topological Band structures
(4) Su-Schrieffer-Heeger Model: Edge modes, topological invariant [PDF]
(5) Haldane model [PDFipynb]
(6) 2D TR-invariant topological insulators [PDF
(7) 3D TR-invariant topological insulators [PDF]
(8) 3D Weyl semimetals [PDF
(9) Topological superconductors: Kitaev chain [PDF]
(10) Periodic table of topological band structures [PDF

Interacting Symmetry Protected Topological Phases 

(11) Quantum-Many Body Systems and Entanglement [PDF]
(12) Matrix-Product States [PDF]
(13) Symmetry Protected Topological Phases [PDF]

Topological order 

(14) Fractional quantum Hall effect [PDF
(15) Toric code and topological entanglement [PDF]
(16) Quantum Spin Liquids [PDF
(17 )Topological quantum computing [PDF

Fractionalization and emergent electrodynamics 
3D Spin ice and monopoles 

[The files are protected by a password. I'll mail the password on request.] 

Tutorials (C.3201, tutor room)
Monday 8:00 - 10:00 


Quantum Field Theory of Many-Body Systems, X.-G. Wen, Oxford.
Graduate Text Lecture notes by John Preskill:
Lecture notes by Alexei Kitaev and Chris Laumann:
Review article by Chetan Nayak et al.:

TUM Course Website PH2246