ETH – Institute for Theoretical Physics – Topological Aspects of Condensed Matter Physics – HS 2015

ITP Lecture Archive

Topological Aspects of Condensed Matter Physics – HS 2015

Prof. Gian Michele Graf

Information

Details from the course catalogue.

Lectures

Fridays, 9:45 - 11:30, HIT F12

Lecture notes

The lecture notes will be updated every week with new content (always the same file):

Topological Aspects of Condensed Matter Physics.

Please send an email if you find any mistake or typo.

Papers

Please see an article concerning the definition of the quantum Hall conductance via the Kubo formula, the index of a pair of projections, and the edge:
G. M. Graf - Aspects of the integer quantum Hall effect. Proceedings of
Symposia in Pure Mathematics Spectral theory and mathematical physics: a
Festschrift in honor of Barry Simon's 60th birthday, 429-442,
Proc. Sympos. Pure Math., 76, Part 1, Amer. Math. Soc. (2007).

For analysis on Anderson localization (relevant to show the Fermi projection has certain decay properties, for instance), see:
M. Aizenman, G.M. Graf - Localization Bounds for an Electron Gas

Validity of the linear response theory approximation (Kubo formula) for Landau type Hamiltonians:

Alexander Elgart, Benjamin Schlein - Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians